400088884000 has 192 divisors, whose sum is σ = 1071401385600. Its totient is φ = 145943731200.

The previous prime is 400088883967. The next prime is 400088884001. The reversal of 400088884000 is 488880004.

It is a super-2 number, since 2×400088884000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (400088884001) by changing a digit.

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, 4269651 + ... + 4362349.

It is an arithmetic number, because the mean of its divisors is an integer number (5580215550).

Almost surely, 2^400088884000 is an apocalyptic number.

400088884000 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 400088884000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535700692800).

400088884000 is an abundant number, since it is smaller than the sum of its proper divisors (671312501600).

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

400088884000 is a wasteful number, since it uses less digits than its factorization.

400088884000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92820 (or 92802 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The spelling of 400088884000 in words is "four hundred billion, eighty-eight million, eight hundred eighty-four thousand".