108386403840 has 960 divisors, whose sum is σ = 448490794752. Its totient is φ = 23843635200.

The previous prime is 108386403823. The next prime is 108386403841. The reversal of 108386403840 is 48304683801.

108386403840 is a `hidden beast` number, since 10 + 83 + 86 + 403 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×108386403840² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108386403841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 220745995 + ... + 220746485.

Almost surely, 2^108386403840 is an apocalyptic number.

108386403840 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 108386403840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224245397376).

108386403840 is an abundant number, since it is smaller than the sum of its proper divisors (340104390912).

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

108386403840 is a wasteful number, since it uses less digits than its factorization.

108386403840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 108386403840 in words is "one hundred eight billion, three hundred eighty-six million, four hundred three thousand, eight hundred forty".