400504405004 has 48 divisors (see below), whose sum is σ = 767088403200. Its totient is φ = 181455307200.

The previous prime is 400504405001. The next prime is 400504405019.

400504405004 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (400504405001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44050499 + ... + 44059589.

It is an arithmetic number, because the mean of its divisors is an integer number (15981008400).

Almost surely, 2^400504405004 is an apocalyptic number.

400504405004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

400504405004 is a deficient number, since it is larger than the sum of its proper divisors (366583998196).

400504405004 is a wasteful number, since it uses less digits than its factorization.

400504405004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12254 (or 12252 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

It can be divided in two parts, 400504 and 405004, that added together give a palindrome (805508).

The spelling of 400504405004 in words is "four hundred billion, five hundred four million, four hundred five thousand, four".