401110885468800 has 2304 divisors, whose sum is σ = 1671138779856000. Its totient is φ = 90747636940800.

The previous prime is 401110885468793. The next prime is 401110885468807. The reversal of 401110885468800 is 8864588011104.

401110885468800 is a `hidden beast` number, since 4 + 0 + 1 + 1 + 10 + 8 + 8 + 546 + 8 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (401110885468793) and next prime (401110885468807).

It is not an unprimeable number, because it can be changed into a prime (401110885468807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 99754010790 + ... + 99754014810.

Almost surely, 2^{401110885468800} is an apocalyptic number.

401110885468800 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 401110885468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835569389928000).

401110885468800 is an abundant number, since it is smaller than the sum of its proper divisors (1270027894387200).

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

401110885468800 is a wasteful number, since it uses less digits than its factorization.

401110885468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4499 (or 4479 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 54.

The spelling of 401110885468800 in words is "four hundred one trillion, one hundred ten billion, eight hundred eighty-five million, four hundred sixty-eight thousand, eight hundred".