400839912000 has 672 divisors, whose sum is σ = 1580025702528. Its totient is φ = 96192000000.

The previous prime is 400839911981. The next prime is 400839912007. The reversal of 400839912000 is 219938004.

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 (400839912007) 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, 79989495 + ... + 79994505.

It is an arithmetic number, because the mean of its divisors is an integer number (2351228724).

Almost surely, 2^400839912000 is an apocalyptic number.

400839912000 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 400839912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790012851264).

400839912000 is an abundant number, since it is smaller than the sum of its proper divisors (1179185790528).

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

400839912000 is a wasteful number, since it uses less digits than its factorization.

400839912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5156 (or 5133 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 400839912000 in words is "four hundred billion, eight hundred thirty-nine million, nine hundred twelve thousand".