400800408000 has 224 divisors, whose sum is σ = 1329731989248. Its totient is φ = 106372224000.

The previous prime is 400800407923. The next prime is 400800408011. The reversal of 400800408000 is 804008004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5024427 + ... + 5103573.

Almost surely, 2^400800408000 is an apocalyptic number.

400800408000 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 400800408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664865994624).

400800408000 is an abundant number, since it is smaller than the sum of its proper divisors (928931581248).

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

400800408000 is a wasteful number, since it uses less digits than its factorization.

400800408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79388 (or 79368 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The spelling of 400800408000 in words is "four hundred billion, eight hundred million, four hundred eight thousand".