108041440396032 has 864 divisors, whose sum is σ = 379692256769280. Its totient is φ = 29094282362880.

The previous prime is 108041440395913. The next prime is 108041440396073. The reversal of 108041440396032 is 230693044140801.

108041440396032 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 4 + 1 + 4 + 4 + 0 + 39 + 603 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3315460443 + ... + 3315493029.

It is an arithmetic number, because the mean of its divisors is an integer number (439458630520).

Almost surely, 2^{108041440396032} is an apocalyptic number.

108041440396032 is a gapful number since it is divisible by the number (12) 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 108041440396032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189846128384640).

108041440396032 is an abundant number, since it is smaller than the sum of its proper divisors (271650816373248).

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

108041440396032 is a wasteful number, since it uses less digits than its factorization.

108041440396032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33009 (or 32992 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 108041440396032 in words is "one hundred eight trillion, forty-one billion, four hundred forty million, three hundred ninety-six thousand, thirty-two".