111408300400320 has 4032 divisors, whose sum is σ = 534582280673280. Its totient is φ = 21583599206400.

The previous prime is 111408300400291. The next prime is 111408300400351. The reversal of 111408300400320 is 23004003804111.

111408300400320 is a `hidden beast` number, since 11 + 140 + 83 + 0 + 0 + 400 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×111408300400320² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 101004804889 + ... + 101004805991.

It is an arithmetic number, because the mean of its divisors is an integer number (132584891040).

Almost surely, 2^{111408300400320} is an apocalyptic number.

111408300400320 is a gapful number since it is divisible by the number (10) 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 111408300400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267291140336640).

111408300400320 is an abundant number, since it is smaller than the sum of its proper divisors (423173980272960).

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

111408300400320 is a wasteful number, since it uses less digits than its factorization.

111408300400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 111408300400320 in words is "one hundred eleven trillion, four hundred eight billion, three hundred million, four hundred thousand, three hundred twenty".