4014 is usually caused when your iPhone or iPad cannot create/sustain a connection to your computer. This is mostly caused due to a faulty charging cable. Be sure to try to restore with a few different lightning cables to rule out this possibility. You should also try using an OEM or "Made for iPhone" cable if at all possible to avoid any issues.
If the issue is 4041 and not 4014, you may have a faulty logic board and require microsoldering repair from what I've been able to gather.