404479505974404 has 144 divisors (see below), whose sum is σ = 1149683453525376. Its totient is φ = 110147597683200.

The previous prime is 404479505974303. The next prime is 404479505974417.

404479505974404 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×404479505974404² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49417327 + ... + 57017814.

It is an arithmetic number, because the mean of its divisors is an integer number (7983912871704).

Almost surely, 2^{404479505974404} is an apocalyptic number.

It is an amenable number.

404479505974404 is an abundant number, since it is smaller than the sum of its proper divisors (745203947550972).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

404479505974404 is a wasteful number, since it uses less digits than its factorization.

404479505974404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106435466 (or 106435457 counting only the distinct ones).

The product of its (nonzero) digits is 406425600, while the sum is 66.

The spelling of 404479505974404 in words is "four hundred four trillion, four hundred seventy-nine billion, five hundred five million, nine hundred seventy-four thousand, four hundred four".