431004002004 has 72 divisors (see below), whose sum is σ = 1109208620520. Its totient is φ = 141090066432.

The previous prime is 431004001999. The next prime is 431004002027. The reversal of 431004002004 is 400200400134.

It can be written as a sum of positive squares in 4 ways, for example, as 41006250000 + 389997752004 = 202500^2 + 624498^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42597 + ... + 929420.

It is an arithmetic number, because the mean of its divisors is an integer number (15405675285).

Almost surely, 2^431004002004 is an apocalyptic number.

It is an amenable number.

431004002004 is an abundant number, since it is smaller than the sum of its proper divisors (678204618516).

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

431004002004 is a wasteful number, since it uses less digits than its factorization.

431004002004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972249 (or 972244 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 431004002004 its reverse (400200400134), we get a palindrome (831204402138).

The spelling of 431004002004 in words is "four hundred thirty-one billion, four million, two thousand, four".