E_FATIFRP.exe is installed by software from Seiko for their printers. Epson is one Seiko brand.
Seikō Hōrudingusu Kabushiki-gaisha is the grand child of a watch and jewellery shop, named K. Hattori, started in 1881. The Hattori family are still in the company. Along the way an employee of the Hattori family formed a company that went on to invent inkjet printing and a lot of other things, including the Epson brand. Epson is part of Seiko Epson which is part of the Seiko group. Seiko software could be installed by any Epson or Seiko product.
E_FATIFRP.exe appears on a Windows XP computer with software drivers installed for the Epson TX800FW and TX810FW. E_FATIFRP.exe displays a status icon in the Windows control bar. E_FATIFRP.exe is probably used for many other Epson printers and most versions of Windows. There are other processes with similar names used for other Epson printers and they all seem to start with E_.
Do not delete this process. Microsoft Word and other software may lock up when trying to print if you delete only parts of the Epson software without cleanly deleting the whole lot. Instead look into the Epson software and use the Epson software options to control what you see in the windows control bar. If you no longer use an Epson printer, go into the control panel to delete the Epson printer software installation.