401117977568 has 144 divisors (see below), whose sum is σ = 1005615404640. Its totient is φ = 154138152960.

The previous prime is 401117977553. The next prime is 401117977573. The reversal of 401117977568 is 865779711104.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1877228 + ... + 2079956.

It is an arithmetic number, because the mean of its divisors is an integer number (6983440310).

Almost surely, 2^401117977568 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 401117977568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502807702320).

401117977568 is an abundant number, since it is smaller than the sum of its proper divisors (604497427072).

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

401117977568 is a wasteful number, since it uses less digits than its factorization.

401117977568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202841 (or 202822 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 56.

The spelling of 401117977568 in words is "four hundred one billion, one hundred seventeen million, nine hundred seventy-seven thousand, five hundred sixty-eight".