401360792664 has 256 divisors, whose sum is σ = 1198719406080. Its totient is φ = 110799912960.

The previous prime is 401360792653. The next prime is 401360792669. The reversal of 401360792664 is 466297063104.

It is a super-2 number, since 2×401360792664² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401360792669) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 10998192 + ... + 11034624.

It is an arithmetic number, because the mean of its divisors is an integer number (4682497680).

Almost surely, 2^401360792664 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 401360792664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599359703040).

401360792664 is an abundant number, since it is smaller than the sum of its proper divisors (797358613416).

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

401360792664 is a wasteful number, since it uses less digits than its factorization.

401360792664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36570 (or 36566 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The spelling of 401360792664 in words is "four hundred one billion, three hundred sixty million, seven hundred ninety-two thousand, six hundred sixty-four".