400088804880 has 640 divisors, whose sum is σ = 1380963041280. Its totient is φ = 95432048640.

The previous prime is 400088804879. The next prime is 400088804903. The reversal of 400088804880 is 88408880004.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1413741219 + ... + 1413741501.

It is an arithmetic number, because the mean of its divisors is an integer number (2157754752).

Almost surely, 2^400088804880 is an apocalyptic number.

400088804880 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 400088804880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690481520640).

400088804880 is an abundant number, since it is smaller than the sum of its proper divisors (980874236400).

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

400088804880 is a wasteful number, since it uses less digits than its factorization.

400088804880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 48.

The spelling of 400088804880 in words is "four hundred billion, eighty-eight million, eight hundred four thousand, eight hundred eighty".