7138615435920 has 240 divisors, whose sum is σ = 24122526171120. Its totient is φ = 1891834527744.

The previous prime is 7138615435879. The next prime is 7138615435949. The reversal of 7138615435920 is 295345168317.

It is a happy number.

7138615435920 is a `hidden beast` number, since 7 + 1 + 3 + 8 + 6 + 1 + 5 + 43 + 592 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 440540167824 + 6698075268096 = 663732^2 + 2588064^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 334931184 + ... + 334952496.

It is an arithmetic number, because the mean of its divisors is an integer number (100510525713).

It is a 1-persistent number, because it is pandigital, but 2⋅7138615435920 = 14277230871840 is not.

Almost surely, 2^{7138615435920} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7138615435920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12061263085560).

7138615435920 is an abundant number, since it is smaller than the sum of its proper divisors (16983910735200).

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

7138615435920 is a wasteful number, since it uses less digits than its factorization.

7138615435920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24194 (or 24185 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 7138615435920 in words is "seven trillion, one hundred thirty-eight billion, six hundred fifteen million, four hundred thirty-five thousand, nine hundred twenty".