7400711574160 has 80 divisors (see below), whose sum is σ = 17527686303600. Its totient is φ = 2905269534720.

The previous prime is 7400711574149. The next prime is 7400711574163. The reversal of 7400711574160 is 614751170047.

It can be written as a sum of positive squares in 8 ways, for example, as 62594035344 + 7338117538816 = 250188^2 + 2708896^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (7400711574163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 502324 + ... + 3879916.

It is an arithmetic number, because the mean of its divisors is an integer number (219096078795).

Almost surely, 2^{7400711574160} 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 7400711574160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8763843151800).

7400711574160 is an abundant number, since it is smaller than the sum of its proper divisors (10126974729440).

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

7400711574160 is a wasteful number, since it uses less digits than its factorization.

7400711574160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3378116 (or 3378110 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 43.

The spelling of 7400711574160 in words is "seven trillion, four hundred billion, seven hundred eleven million, five hundred seventy-four thousand, one hundred sixty".