401100856840992 has 384 divisors, whose sum is σ = 1325559329740800. Its totient is φ = 103162147430400.

The previous prime is 401100856840867. The next prime is 401100856841011. The reversal of 401100856840992 is 299048658001104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1304319892 + ... + 1304627372.

It is an arithmetic number, because the mean of its divisors is an integer number (3451977421200).

Almost surely, 2^{401100856840992} is an apocalyptic number.

401100856840992 is a gapful number since it is divisible by the number (42) 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 401100856840992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662779664870400).

401100856840992 is an abundant number, since it is smaller than the sum of its proper divisors (924458472899808).

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

401100856840992 is a wasteful number, since it uses less digits than its factorization.

401100856840992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309240 (or 309232 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 57.

The spelling of 401100856840992 in words is "four hundred one trillion, one hundred billion, eight hundred fifty-six million, eight hundred forty thousand, nine hundred ninety-two".