401292964896 has 96 divisors (see below), whose sum is σ = 1082192186880. Its totient is φ = 130109607936.

The previous prime is 401292964871. The next prime is 401292964901. The reversal of 401292964896 is 698469292104.

401292964896 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×401292964896² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13116465 + ... + 13147023.

It is an arithmetic number, because the mean of its divisors is an integer number (11272835280).

Almost surely, 2^401292964896 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 401292964896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541096093440).

401292964896 is an abundant number, since it is smaller than the sum of its proper divisors (680899221984).

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

401292964896 is a wasteful number, since it uses less digits than its factorization.

401292964896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34306 (or 34298 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 60.

The spelling of 401292964896 in words is "four hundred one billion, two hundred ninety-two million, nine hundred sixty-four thousand, eight hundred ninety-six".