401079868800 has 384 divisors, whose sum is σ = 1432291140000. Its totient is φ = 98060206080.

The previous prime is 401079868757. The next prime is 401079868807. The reversal of 401079868800 is 8868970104.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×401079868800² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401079868807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18584416 + ... + 18605984.

Almost surely, 2^401079868800 is an apocalyptic number.

401079868800 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 401079868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716145570000).

401079868800 is an abundant number, since it is smaller than the sum of its proper divisors (1031211271200).

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

401079868800 is a wasteful number, since it uses less digits than its factorization.

401079868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21758 (or 21741 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The spelling of 401079868800 in words is "four hundred one billion, seventy-nine million, eight hundred sixty-eight thousand, eight hundred".