404008805200 has 480 divisors, whose sum is σ = 1315323313920. Its totient is φ = 115159449600.

The previous prime is 404008805191. The next prime is 404008805227. The reversal of 404008805200 is 2508800404.

It is a super-2 number, since 2×404008805200² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43638972 + ... + 43648228.

It is an arithmetic number, because the mean of its divisors is an integer number (2740256904).

Almost surely, 2^404008805200 is an apocalyptic number.

404008805200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404008805200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657661656960).

404008805200 is an abundant number, since it is smaller than the sum of its proper divisors (911314508720).

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

404008805200 is a wasteful number, since it uses less digits than its factorization.

404008805200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9415 (or 9404 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The spelling of 404008805200 in words is "four hundred four billion, eight million, eight hundred five thousand, two hundred".