7108386668040 has 256 divisors, whose sum is σ = 24443409553920. Its totient is φ = 1619994746880.

The previous prime is 7108386668039. The next prime is 7108386668059. The reversal of 7108386668040 is 408666838017.

It is a super-2 number, since 2×7108386668040² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 410382580 + ... + 410399900.

It is an arithmetic number, because the mean of its divisors is an integer number (95482068570).

Almost surely, 2^{7108386668040} is an apocalyptic number.

7108386668040 is a gapful number since it is divisible by the number (70) 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 7108386668040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12221704776960).

7108386668040 is an abundant number, since it is smaller than the sum of its proper divisors (17335022885880).

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

7108386668040 is a wasteful number, since it uses less digits than its factorization.

7108386668040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18752 (or 18748 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 57.

The spelling of 7108386668040 in words is "seven trillion, one hundred eight billion, three hundred eighty-six million, six hundred sixty-eight thousand, forty".