404613320872800 has 288 divisors, whose sum is σ = 1464077743027200. Its totient is φ = 96384314419200.

The previous prime is 404613320872799. The next prime is 404613320872811. The reversal of 404613320872800 is 8278023316404.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 404613320872800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208200150 + ... + 210134549.

It is an arithmetic number, because the mean of its divisors is an integer number (5083603274400).

Almost surely, 2^{404613320872800} is an apocalyptic number.

404613320872800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404613320872800 is an abundant number, since it is smaller than the sum of its proper divisors (1059464422154400).

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

404613320872800 is a wasteful number, since it uses less digits than its factorization.

404613320872800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418334766 (or 418334753 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 404613320872800 in words is "four hundred four trillion, six hundred thirteen billion, three hundred twenty million, eight hundred seventy-two thousand, eight hundred".