400622976000 has 1408 divisors, whose sum is σ = 1644483160320. Its totient is φ = 95551488000.

The previous prime is 400622975999. The next prime is 400622976053. The reversal of 400622976000 is 679226004.

It is a happy number.

400622976000 is a `hidden beast` number, since 40 + 0 + 6 + 2 + 2 + 9 + 7 + 600 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1662335880 + ... + 1662336120.

It is an arithmetic number, because the mean of its divisors is an integer number (1167956790).

Almost surely, 2^400622976000 is an apocalyptic number.

400622976000 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 400622976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822241580160).

400622976000 is an abundant number, since it is smaller than the sum of its proper divisors (1243860184320).

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

400622976000 is a wasteful number, since it uses less digits than its factorization.

400622976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 400622976000 in words is "four hundred billion, six hundred twenty-two million, nine hundred seventy-six thousand".