404431010120 has 64 divisors (see below), whose sum is σ = 916337664000. Its totient is φ = 160644043008.

The previous prime is 404431010119. The next prime is 404431010173. The reversal of 404431010120 is 21010134404.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 404431010092 and 404431010101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3450641 + ... + 3565919.

It is an arithmetic number, because the mean of its divisors is an integer number (14317776000).

Almost surely, 2^404431010120 is an apocalyptic number.

404431010120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404431010120 is an abundant number, since it is smaller than the sum of its proper divisors (511906653880).

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

404431010120 is a wasteful number, since it uses less digits than its factorization.

404431010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115902 (or 115898 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 404431010120 its reverse (21010134404), we get a palindrome (425441144524).

The spelling of 404431010120 in words is "four hundred four billion, four hundred thirty-one million, ten thousand, one hundred twenty".