401876165600 has 432 divisors, whose sum is σ = 1237120069248. Its totient is φ = 126351912960.

The previous prime is 401876165573. The next prime is 401876165617. The reversal of 401876165600 is 6561678104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 80004689 + ... + 80009711.

It is an arithmetic number, because the mean of its divisors is an integer number (2863703864).

Almost surely, 2^401876165600 is an apocalyptic number.

401876165600 is a gapful number since it is divisible by the number (40) 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 401876165600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618560034624).

401876165600 is an abundant number, since it is smaller than the sum of its proper divisors (835243903648).

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

401876165600 is a wasteful number, since it uses less digits than its factorization.

401876165600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5227 (or 5207 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The spelling of 401876165600 in words is "four hundred one billion, eight hundred seventy-six million, one hundred sixty-five thousand, six hundred".