400800826404 has 72 divisors (see below), whose sum is σ = 1142165844960. Its totient is φ = 121454791920.

The previous prime is 400800826399. The next prime is 400800826409. The reversal of 400800826404 is 404628008004.

400800826404 is a `hidden beast` number, since 4 + 0 + 0 + 8 + 0 + 0 + 8 + 2 + 640 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (400800826399) and next prime (400800826409).

It is a super-2 number, since 2×400800826404² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (400800826409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15322134 + ... + 15348269.

Almost surely, 2^400800826404 is an apocalyptic number.

400800826404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

400800826404 is an abundant number, since it is smaller than the sum of its proper divisors (741365018556).

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

400800826404 is a wasteful number, since it uses less digits than its factorization.

400800826404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30670438 (or 30670419 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 400800826404 in words is "four hundred billion, eight hundred million, eight hundred twenty-six thousand, four hundred four".