404004431000 has 64 divisors (see below), whose sum is σ = 975866261760. Its totient is φ = 156388800000.

The previous prime is 404004430967. The next prime is 404004431009. The reversal of 404004431000 is 134400404.

It is a super-2 number, since 2×404004431000² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404004431009) 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, 6485201 + ... + 6547200.

It is an arithmetic number, because the mean of its divisors is an integer number (15247910340).

Almost surely, 2^404004431000 is an apocalyptic number.

404004431000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404004431000 is an abundant number, since it is smaller than the sum of its proper divisors (571861830760).

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

404004431000 is a wasteful number, since it uses less digits than its factorization.

404004431000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13032453 (or 13032439 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 404004431000 its reverse (134400404), we get a palindrome (404138831404).

The spelling of 404004431000 in words is "four hundred four billion, four million, four hundred thirty-one thousand".