108440726400 has 480 divisors, whose sum is σ = 401502538800. Its totient is φ = 28821381120.

The previous prime is 108440726353. The next prime is 108440726473. The reversal of 108440726400 is 4627044801.

108440726400 is a `hidden beast` number, since 1 + 0 + 8 + 4 + 4 + 0 + 7 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×108440726400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 113788324 + ... + 113789276.

Almost surely, 2^108440726400 is an apocalyptic number.

108440726400 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 108440726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200751269400).

108440726400 is an abundant number, since it is smaller than the sum of its proper divisors (293061812400).

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

108440726400 is an equidigital number, since it uses as much as digits as its factorization.

108440726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 108440726400 in words is "one hundred eight billion, four hundred forty million, seven hundred twenty-six thousand, four hundred".