400992681600 has 1536 divisors, whose sum is σ = 1819126425600. Its totient is φ = 84164935680.

The previous prime is 400992681589. The next prime is 400992681613. The reversal of 400992681600 is 6186299004.

It is a happy number.

400992681600 is a `hidden beast` number, since 400 + 99 + 26 + 81 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 442108347 + ... + 442109253.

It is an arithmetic number, because the mean of its divisors is an integer number (1184327100).

Almost surely, 2^400992681600 is an apocalyptic number.

400992681600 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 400992681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909563212800).

400992681600 is an abundant number, since it is smaller than the sum of its proper divisors (1418133744000).

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

400992681600 is a wasteful number, since it uses less digits than its factorization.

400992681600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 400992681600 in words is "four hundred billion, nine hundred ninety-two million, six hundred eighty-one thousand, six hundred".