400838218056 has 112 divisors (see below), whose sum is σ = 1131809806800. Its totient is φ = 133023697632.

The previous prime is 400838218049. The next prime is 400838218063. The reversal of 400838218056 is 650812838004.

400838218056 is a `hidden beast` number, since 40 + 0 + 8 + 382 + 180 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (400838218049) and next prime (400838218063).

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 1172475 + ... + 1475253.

Almost surely, 2^400838218056 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 400838218056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565904903400).

400838218056 is an abundant number, since it is smaller than the sum of its proper divisors (730971588744).

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

400838218056 is a wasteful number, since it uses less digits than its factorization.

400838218056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303030 (or 303011 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 400838218056 in words is "four hundred billion, eight hundred thirty-eight million, two hundred eighteen thousand, fifty-six".