That said, hailing is a fairly specific word that not everyone uses. If someone uses call a taxi, I wouldn't be surprised if they then go and hail a taxi.
Taxicabs are the only vehicles that have the right to pick up street-hailing and prearranged passengers anywhere in New York City. By law, there are 13,587 taxis in New York City and each taxi must have a medallion affixed to it.
A taxi, also known as a taxicab or simply a cab, is a type of vehicle for hire with a driver, used by a single passenger or small group of passengers, often for a non-shared ride.