PS3 has a 300'000 x 300'000 pixel limit
You're also limited by the HP driver so you'll need to check with them on that but also try assigning the recommend RAM in Photoshop.
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No, it has a 30,000 pixel limit, not 300,000 for printing.
However, the OP's image isn't that large.
It is over 44" though, and that's probably the issue. For a test, I'd suggest resizing (leave the pixels the same, just change output DPI) to just under 44" and do a print preview (but don't do an actual print). If the preview looks fine (as opposed to how it looks now) then it's a driver/OS (they always work in combination) issue.
It's possible that it's also related to your system (but not very likely) - you can try closing any apps that aren't needed, make a flat copy of the image and just open that (having closed PS first) and try printing. I doubt it will help, but in a very small number of cases it can. If you don't do it regularly, consider defragging your hard drives as well.
Since you've printed other images without issue that are longer, try opening one of them and see what happens. If it previews with a problem, then try reinstalling your driver.
You can also go into the Advanced tab of your printer driver Properties and change to print directly to the printer instead of spooling and a few other options (experiment, but note how it is currently set so you can set it back). Your driver utilities may also allow you to change where your driver spools/works on your data.