400400008080 has 160 divisors (see below), whose sum is σ = 1275446044800. Its totient is φ = 103833870336.

The previous prime is 400400008061. The next prime is 400400008097. The reversal of 400400008080 is 80800004004.

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 self number, because there is not a number n which added to its sum of digits gives 400400008080.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18894931 + ... + 18916109.

It is an arithmetic number, because the mean of its divisors is an integer number (7971537780).

Almost surely, 2^400400008080 is an apocalyptic number.

400400008080 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 400400008080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637723022400).

400400008080 is an abundant number, since it is smaller than the sum of its proper divisors (875046036720).

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

400400008080 is a wasteful number, since it uses less digits than its factorization.

400400008080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23361 (or 23355 counting only the distinct ones).

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

The spelling of 400400008080 in words is "four hundred billion, four hundred million, eight thousand, eighty".