HP doesn't sell Macs, they sell Windows hardware with Windows 10 installed, and guess where their first loyalty lies, with support for their printer/scanner family on Windows 10. HP can continue to ship 32-bit printer drivers and applications on Windows 10, but they can't pull that off with Catalina which now requires all 64-bit applications, printer, and scanner drivers.
If your LJ Pro 400 is a 401DN model, download and install HP's Easy Start v2.9.0.189 from Nov 19, and see if that can get your driver situation squared away on Catalina. You will have to Reset your Print System afterward, so that it will pick up the new drivers (if compatible). If that still does not work the following printers are supported by Apple's AirPrint, which will allow you to print wired/wireless to a networked printer without any HP drivers necessary. You would have to Reset the Print system again, and instead of the HP drivers, select AirPrint.

If you can no longer scan on Catalina, check the paid, non-subscription, 64-bit VueScan site for supported HP scanners. If your device is supported, VueScan will tell you if it requires HP drivers, or none, and whether it supports flatbed and document feeds depending on your model. Between AirPrint and VueScan, you would never need to use HP software or drivers again.
I have used VueScan Professional since 2010 with a antiquated Canon scanner. I have never paid any money since for regular VueScan updates, and do not receive any vendor benefits from mentioning the product here.