400208008896 has 140 divisors (see below), whose sum is σ = 1186688053848. Its totient is φ = 133363749888.

The previous prime is 400208008883. The next prime is 400208008913. The reversal of 400208008896 is 698800802004.

It is a happy number.

400208008896 is a `hidden beast` number, since 400 + 2 + 0 + 80 + 0 + 88 + 96 = 666.

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 19 ways as a sum of consecutive naturals, for example, 21851775 + ... + 21870081.

Almost surely, 2^400208008896 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 400208008896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593344026924).

400208008896 is an abundant number, since it is smaller than the sum of its proper divisors (786480044952).

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

400208008896 is a wasteful number, since it uses less digits than its factorization.

400208008896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22548 (or 22529 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 400208008896 in words is "four hundred billion, two hundred eight million, eight thousand, eight hundred ninety-six".