404431343134404 has 24 divisors (see below), whose sum is σ = 943675717688928. Its totient is φ = 134810078610240.

The previous prime is 404431343134391. The next prime is 404431343134459.

404431343134404 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×404431343134404² (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 7 ways as a sum of consecutive naturals, for example, 41553942 + ... + 50354669.

It is an arithmetic number, because the mean of its divisors is an integer number (39319821570372).

Almost surely, 2^{404431343134404} is an apocalyptic number.

It is an amenable number.

404431343134404 is an abundant number, since it is smaller than the sum of its proper divisors (539244374554524).

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

404431343134404 is a wasteful number, since it uses less digits than its factorization.

404431343134404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92275315 (or 92275313 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 42.

The spelling of 404431343134404 in words is "four hundred four trillion, four hundred thirty-one billion, three hundred forty-three million, one hundred thirty-four thousand, four hundred four".