400771872000 has 864 divisors, whose sum is σ = 1593758799360. Its totient is φ = 96185548800.

The previous prime is 400771871957. The next prime is 400771872001. The reversal of 400771872000 is 278177004.

400771872000 is a `hidden beast` number, since 400 + 77 + 187 + 2 + 0 + 0 + 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 not an unprimeable number, because it can be changed into a prime (400771872001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112606221 + ... + 112609779.

It is an arithmetic number, because the mean of its divisors is an integer number (1844628240).

Almost surely, 2^400771872000 is an apocalyptic number.

400771872000 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 400771872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796879399680).

400771872000 is an abundant number, since it is smaller than the sum of its proper divisors (1192986927360).

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

400771872000 is a wasteful number, since it uses less digits than its factorization.

400771872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3636 (or 3609 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The spelling of 400771872000 in words is "four hundred billion, seven hundred seventy-one million, eight hundred seventy-two thousand".