401052688892944 has 160 divisors (see below), whose sum is σ = 886253578640640. Its totient is φ = 174032145408000.

The previous prime is 401052688892909. The next prime is 401052688892953. The reversal of 401052688892944 is 449298886250104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9558638814 + ... + 9558680770.

It is an arithmetic number, because the mean of its divisors is an integer number (5539084866504).

Almost surely, 2^{401052688892944} is an apocalyptic number.

401052688892944 is a gapful number since it is divisible by the number (44) 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 401052688892944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443126789320320).

401052688892944 is an abundant number, since it is smaller than the sum of its proper divisors (485200889747696).

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

401052688892944 is a wasteful number, since it uses less digits than its factorization.

401052688892944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46529 (or 46523 counting only the distinct ones).

The product of its (nonzero) digits is 318504960, while the sum is 70.

The spelling of 401052688892944 in words is "four hundred one trillion, fifty-two billion, six hundred eighty-eight million, eight hundred ninety-two thousand, nine hundred forty-four".