9715159440 has 960 divisors, whose sum is σ = 41597337600. Its totient is φ = 2103252480.

The previous prime is 9715159429. The next prime is 9715159453. The reversal of 9715159440 is 449515179.

9715159440 is a `hidden beast` number, since 9 + 7 + 1 + 51 + 594 + 4 + 0 = 666.

It is a super-3 number, since 3×9715159440³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 206705497 + ... + 206705543.

It is an arithmetic number, because the mean of its divisors is an integer number (43330560).

Almost surely, 2^9715159440 is an apocalyptic number.

9715159440 is a gapful number since it is divisible by the number (90) 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 9715159440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20798668800).

9715159440 is an abundant number, since it is smaller than the sum of its proper divisors (31882178160).

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

9715159440 is a wasteful number, since it uses less digits than its factorization.

9715159440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 9715159440 is about 98565.5083688001. The cubic root of 9715159440 is about 2133.7816572964.

The spelling of 9715159440 in words is "nine billion, seven hundred fifteen million, one hundred fifty-nine thousand, four hundred forty".