A Q400's number one engine quit during the landing roll out. Emergency equipment was called; the other engine shut down and the aircraft towed to the gate.

Narrative

During landing rollout; experienced smoke from flight deck gaspers; #1 FADEC Fail; and #1 Engine oil pressure warnings. [We] cleared the runway. First Officer conducted Aircraft Smoke/Fire checklist. Smoke stopped and dissipated as soon as bleeds were secured. Captain opted not to don masks; as smoke was minimal and cleared flight deck quickly. Stopped aircraft on the taxiway between runways [and] ran #1 FADEC fail/engine fail checklist. [We] briefed Tower; Dispatch; Flight Attendant's and passengers. Consulted with control tower and Airport Rescue and Fire Fighting to confirm smoke from #1 engine cowl had stopped. Contacted Maintenance to discern their preference regarding shutting down engine #2; and receive a tow to the parking spot. Due to unknown nature of engine failure/damage to related systems and out of an abundance of caution; Captain opted to shut down #2 engines and be towed to the spot. [We] started APU for electrical power and bleed air. Ensured via Flight Attendant's that passengers were in no distress. Flight Attendant's confirmed smoke had rapidly dissipated. Appropriate PA's were made to passengers. [We] briefed passengers of situation [and] coordinated with operations for a tow to the gate. Cause of engine failure on landing is still unknown.