400080484800 has 252 divisors, whose sum is σ = 1424736552096. Its totient is φ = 106481356800.

The previous prime is 400080484789. The next prime is 400080484879. The reversal of 400080484800 is 8484080004.

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 35 ways as a sum of consecutive naturals, for example, 7475737 + ... + 7529063.

Almost surely, 2^400080484800 is an apocalyptic number.

400080484800 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 400080484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712368276048).

400080484800 is an abundant number, since it is smaller than the sum of its proper divisors (1024656067296).

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

400080484800 is a wasteful number, since it uses less digits than its factorization.

400080484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53876 (or 53858 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 400080484800 in words is "four hundred billion, eighty million, four hundred eighty-four thousand, eight hundred".