4971429004201 has 16 divisors (see below), whose sum is σ = 5458179863808. Its totient is φ = 4490481340800.

The previous prime is 4971429004193. The next prime is 4971429004207. The reversal of 4971429004201 is 1024009241794.

It is a cyclic number.

It is not a de Polignac number, because 4971429004201 - 2³ = 4971429004193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4971429004207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44917536 + ... + 45028078.

It is an arithmetic number, because the mean of its divisors is an integer number (341136241488).

Almost surely, 2^{4971429004201} is an apocalyptic number.

It is an amenable number.

4971429004201 is a deficient number, since it is larger than the sum of its proper divisors (486750859607).

4971429004201 is a wasteful number, since it uses less digits than its factorization.

4971429004201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136752.

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 4971429004201 in words is "four trillion, nine hundred seventy-one billion, four hundred twenty-nine million, four thousand, two hundred one".