Alaric Spence of North Hollywood, was arrested that night on suspicion of kidnapping to commit a sex crime, police said.
She was intoxicated and unconscious when she was sexually assaulted, prosecutors allege, adding that when the woman woke up, she told police what happened.
Investigators released photos of Spence and his vehicle - a 2015 silver Nissan Sentra with the license plate number 7XUX293. The auto has an Uber sticker in the front windshield.
Anyone with information about other possible victims was urged to call LAPD Detective Carla Zuniga at (213) 486-6910.
According to police, the woman was on FaceTime with a friend when she noticed Ricci was driving the wrong way down a dead-end street.
Spence's prior narcotics felony convictions are from 1990s, records show.
Uber says it is cooperating with the investigation and has permanently banned Spence. The exact dates of Spence's felony convictions were not immediately available.
The arrest marks latest sexual assault allegations to involve a driver for the ride-hailing service.
A Perth Uber driver has been charged with indecent assault and deprivation of liberty after he allegedly molested a female passenger during a journey earlier this year.
The alleged rape occurred March 30, when Angel Sanchez picked up a woman at a company gathering in Newport Beach, according to the Orange County district attorney's office.
At around 2.15am on April 22, a woman in her thirties was collected by the driver, and the pair began the trip to her home.
The UCLA Rape Treatment Center matched the DNA found on the plaintiff to a Uber driver who pleaded no contest to a charge of criminal sexual battery.
That's when the woman smacked his arm away, got out of the vehicle and ran.