400368826880 has 480 divisors, whose sum is σ = 1130487019200. Its totient is φ = 135470776320.

The previous prime is 400368826873. The next prime is 400368826901. The reversal of 400368826880 is 88628863004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 347240384 + ... + 347241536.

It is an arithmetic number, because the mean of its divisors is an integer number (2355181290).

Almost surely, 2^400368826880 is an apocalyptic number.

400368826880 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 400368826880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565243509600).

400368826880 is an abundant number, since it is smaller than the sum of its proper divisors (730118192320).

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

400368826880 is a wasteful number, since it uses less digits than its factorization.

400368826880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 53.

The spelling of 400368826880 in words is "four hundred billion, three hundred sixty-eight million, eight hundred twenty-six thousand, eight hundred eighty".