400801034979072 has 864 divisors, whose sum is σ = 1497643496294400. Its totient is φ = 100108911771648.

The previous prime is 400801034979071. The next prime is 400801034979083. The reversal of 400801034979072 is 270979430108004.

400801034979072 is a `hidden beast` number, since 4 + 0 + 0 + 80 + 1 + 0 + 3 + 497 + 9 + 0 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400801034979071) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 13261442553 + ... + 13261472775.

Almost surely, 2^{400801034979072} is an apocalyptic number.

400801034979072 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400801034979072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748821748147200).

400801034979072 is an abundant number, since it is smaller than the sum of its proper divisors (1096842461315328).

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

400801034979072 is a wasteful number, since it uses less digits than its factorization.

400801034979072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33613 (or 33596 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 400801034979072 in words is "four hundred trillion, eight hundred one billion, thirty-four million, nine hundred seventy-nine thousand, seventy-two".