904014204044121 has 48 divisors (see below), whose sum is σ = 1309066278349440. Its totient is φ = 601169476078080.

The previous prime is 904014204044099. The next prime is 904014204044249. The reversal of 904014204044121 is 121440402410409.

904014204044121 is a `hidden beast` number, since 9 + 0 + 4 + 0 + 1 + 4 + 204 + 0 + 441 + 2 + 1 = 666.

It is not a de Polignac number, because 904014204044121 - 2⁹ = 904014204043609 is a prime.

It is a super-2 number, since 2×904014204044121² (a number of 31 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (904014204044621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51975740401 + ... + 51975757793.

It is an arithmetic number, because the mean of its divisors is an integer number (27272214132280).

Almost surely, 2^{904014204044121} is an apocalyptic number.

It is an amenable number.

904014204044121 is a deficient number, since it is larger than the sum of its proper divisors (405052074305319).

904014204044121 is a wasteful number, since it uses less digits than its factorization.

904014204044121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24446 (or 24443 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 904014204044121 in words is "nine hundred four trillion, fourteen billion, two hundred four million, forty-four thousand, one hundred twenty-one".