400880440080 has 60 divisors (see below), whose sum is σ = 1346290147020. Its totient is φ = 106901450496.

The previous prime is 400880440067. The next prime is 400880440099. The reversal of 400880440080 is 80044088004.

It can be written as a sum of positive squares in 2 ways, for example, as 280001839104 + 120878600976 = 529152^2 + 347676^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 278388475 + ... + 278389914.

It is an arithmetic number, because the mean of its divisors is an integer number (22438169117).

Almost surely, 2^400880440080 is an apocalyptic number.

400880440080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400880440080 is an abundant number, since it is smaller than the sum of its proper divisors (945409706940).

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

400880440080 is a wasteful number, since it uses less digits than its factorization.

400880440080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556778408 (or 556778399 counting only the distinct ones).

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

The spelling of 400880440080 in words is "four hundred billion, eight hundred eighty million, four hundred forty thousand, eighty".