108940340920320 has 1152 divisors, whose sum is σ = 473109197750280. Its totient is φ = 22985016606720.

The previous prime is 108940340920291. The next prime is 108940340920331. The reversal of 108940340920320 is 23029043049801.

108940340920320 is a `hidden beast` number, since 1 + 0 + 89 + 4 + 0 + 340 + 9 + 203 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 64465740251136 + 44474600669184 = 8029056^2 + 6668928^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 939236730 + ... + 939352710.

Almost surely, 2^{108940340920320} is an apocalyptic number.

108940340920320 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 108940340920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236554598875140).

108940340920320 is an abundant number, since it is smaller than the sum of its proper divisors (364168856829960).

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

108940340920320 is a wasteful number, since it uses less digits than its factorization.

108940340920320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116049 (or 116011 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 108940340920320 in words is "one hundred eight trillion, nine hundred forty billion, three hundred forty million, nine hundred twenty thousand, three hundred twenty".