404002013129 has 64 divisors (see below), whose sum is σ = 507328012800. Its totient is φ = 316620595200.

The previous prime is 404002013087. The next prime is 404002013147. The reversal of 404002013129 is 921310200404.

It is not a de Polignac number, because 404002013129 - 2³² = 399707045833 is a prime.

It is a super-2 number, since 2×404002013129² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 404002013098 and 404002013107.

It is not an unprimeable number, because it can be changed into a prime (404002013159) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15592217 + ... + 15618105.

It is an arithmetic number, because the mean of its divisors is an integer number (7927000200).

Almost surely, 2^404002013129 is an apocalyptic number.

It is an amenable number.

404002013129 is a deficient number, since it is larger than the sum of its proper divisors (103325999671).

404002013129 is a wasteful number, since it uses less digits than its factorization.

404002013129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26066.

The product of its (nonzero) digits is 1728, while the sum is 26.

The spelling of 404002013129 in words is "four hundred four billion, two million, thirteen thousand, one hundred twenty-nine".