400087802016 has 432 divisors, whose sum is σ = 1372166490240. Its totient is φ = 110125532160.

The previous prime is 400087801973. The next prime is 400087802099. The reversal of 400087802016 is 610208780004.

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 71 ways as a sum of consecutive naturals, for example, 264782701 + ... + 264784211.

It is an arithmetic number, because the mean of its divisors is an integer number (3176311320).

Almost surely, 2^400087802016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400087802016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686083245120).

400087802016 is an abundant number, since it is smaller than the sum of its proper divisors (972078688224).

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

400087802016 is a wasteful number, since it uses less digits than its factorization.

400087802016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2217 (or 2199 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 400087802016 in words is "four hundred billion, eighty-seven million, eight hundred two thousand, sixteen".