400240662912 has 320 divisors, whose sum is σ = 1255596091200. Its totient is φ = 126210825216.

The previous prime is 400240662907. The next prime is 400240662929. The reversal of 400240662912 is 219266042004.

400240662912 is a `hidden beast` number, since 4 + 0 + 0 + 24 + 0 + 6 + 629 + 1 + 2 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 229100823 + ... + 229102569.

It is an arithmetic number, because the mean of its divisors is an integer number (3923737785).

Almost surely, 2^400240662912 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 400240662912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627798045600).

400240662912 is an abundant number, since it is smaller than the sum of its proper divisors (855355428288).

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

400240662912 is a wasteful number, since it uses less digits than its factorization.

400240662912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2955 (or 2934 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 400240662912 in words is "four hundred billion, two hundred forty million, six hundred sixty-two thousand, nine hundred twelve".