400422378174624 has 1152 divisors, whose sum is σ = 1376130777735168. Its totient is φ = 113549163171840.

The previous prime is 400422378174613. The next prime is 400422378174653. The reversal of 400422378174624 is 426471873224004.

400422378174624 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 2 + 2 + 3 + 7 + 8 + 1 + 7 + 4 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 191 ways as a sum of consecutive naturals, for example, 8860643869 + ... + 8860689059.

It is an arithmetic number, because the mean of its divisors is an integer number (1194557966784).

Almost surely, 2^{400422378174624} 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 400422378174624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688065388867584).

400422378174624 is an abundant number, since it is smaller than the sum of its proper divisors (975708399560544).

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

400422378174624 is a wasteful number, since it uses less digits than its factorization.

400422378174624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45392 (or 45372 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 54.

The spelling of 400422378174624 in words is "four hundred trillion, four hundred twenty-two billion, three hundred seventy-eight million, one hundred seventy-four thousand, six hundred twenty-four".