400705552224 has 36 divisors (see below), whose sum is σ = 1139506414956. Its totient is φ = 133568517312.

The previous prime is 400705552199. The next prime is 400705552231. The reversal of 400705552224 is 422255507004.

400705552224 is a `hidden beast` number, since 40 + 0 + 70 + 5 + 5 + 522 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 695669074 + ... + 695669649.

It is an arithmetic number, because the mean of its divisors is an integer number (31652955971).

Almost surely, 2^400705552224 is an apocalyptic number.

It is an amenable number.

400705552224 is an abundant number, since it is smaller than the sum of its proper divisors (738800862732).

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

400705552224 is a wasteful number, since it uses less digits than its factorization.

400705552224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391338739 (or 1391338728 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 36.

The spelling of 400705552224 in words is "four hundred billion, seven hundred five million, five hundred fifty-two thousand, two hundred twenty-four".