400291233888 has 384 divisors, whose sum is σ = 1344835215360. Its totient is φ = 101410652160.

The previous prime is 400291233871. The next prime is 400291233949. The reversal of 400291233888 is 888332192004.

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 37096398 + ... + 37107186.

It is an arithmetic number, because the mean of its divisors is an integer number (3502175040).

Almost surely, 2^400291233888 is an apocalyptic number.

400291233888 is a gapful number since it is divisible by the number (48) 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 400291233888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672417607680).

400291233888 is an abundant number, since it is smaller than the sum of its proper divisors (944543981472).

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

400291233888 is a wasteful number, since it uses less digits than its factorization.

400291233888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10990 (or 10982 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 400291233888 in words is "four hundred billion, two hundred ninety-one million, two hundred thirty-three thousand, eight hundred eighty-eight".