An inkjet printer has a max resolution of 2880 dots per inch. The resilution of the digital file needed is then 730 pixels per inch.
How to relateren this with displays? Is the dots per inch the measure or the pixels per inch?
TL;DR - compare PPI.
Epson Large Format printers have a max output resolution of 2880x1440dpi, but some consumer models can do 5760. In either case, max input resolution is 720ppi. Digital displays are ppi, so it's the second figure that we need to compare (the inkjet uses multiple dots to achieve each pixel). A 65" TV, for example, is 56.7" wide. To achieve 720ppi, it would need a resolution horizontally of 40,824 pixels. In a 16:9 arrangement, it would need 22,964 pixels vertically, for an effective MP of about 937.5MP.
Of course, to get 720ppi input for a printer to make a 56.7" wide print would also require such an enormous input MP. However, the printer can quite easily produce such a large print from 360ppi input, which would need 234.4MP which is a bit more realistic with stitching, for example. You can even go to 180ppi and still get great results that still stand up to close inspection (much closer than either the print or TV should really be viewed) and you'd only need 58.6MP.
So that sounds like the display is much better, right? You only need 8ish MP to do it on the TV at 4k. The difference is that the printer still has that 2880x1440dpi for putting dots of ink on the page. Until you use a loupe, it appears to be solid colour and coverage over the print whereas the TV has a definite grid pattern (albeit at a point where you really shouldn't be that close to view it).
In short, they're very different, but you can get excellent results in very large prints and have them in multiple locations for a fraction of the cost of having multiple 4k displays and you can choose a variety of substrates, frames (or not), etc. In our office, we have some huge prints done on fabric - just like you'd print directly onto a t-shirt, but 2.5m high and 2m wide on a frame. They look amazing and the impact is far more than the images from projectors on the wall. You can have any orientation or dimensions you want with a print without "wasting" pixels, too - you're not confined to 16:9.