8125568440 has 128 divisors (see below), whose sum is σ = 20435120640. Its totient is φ = 2882880000.

The previous prime is 8125568411. The next prime is 8125568449. The reversal of 8125568440 is 448655218.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8125568449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3514885 + ... + 3517195.

It is an arithmetic number, because the mean of its divisors is an integer number (159649380).

Almost surely, 2^8125568440 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 8125568440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10217560320).

8125568440 is an abundant number, since it is smaller than the sum of its proper divisors (12309552200).

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

8125568440 is a wasteful number, since it uses less digits than its factorization.

8125568440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2525 (or 2521 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 43.

The square root of 8125568440 is about 90141.9349692472. The cubic root of 8125568440 is about 2010.4097611007.

The spelling of 8125568440 in words is "eight billion, one hundred twenty-five million, five hundred sixty-eight thousand, four hundred forty".