108439007040 has 2688 divisors, whose sum is σ = 542890252800. Its totient is φ = 20065812480.

The previous prime is 108439007011. The next prime is 108439007087. The reversal of 108439007040 is 40700934801.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 108439006986 and 108439007004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1777688610 + ... + 1777688670.

It is an arithmetic number, because the mean of its divisors is an integer number (201968100).

Almost surely, 2^108439007040 is an apocalyptic number.

108439007040 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 108439007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271445126400).

108439007040 is an abundant number, since it is smaller than the sum of its proper divisors (434451245760).

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

108439007040 is a wasteful number, since it uses less digits than its factorization.

108439007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 108439007040 in words is "one hundred eight billion, four hundred thirty-nine million, seven thousand, forty".