9116319515040 has 1152 divisors, whose sum is σ = 35192278033920. Its totient is φ = 2194841567232.

The previous prime is 9116319515033. The next prime is 9116319515041. The reversal of 9116319515040 is 405159136119.

9116319515040 is a `hidden beast` number, since 9 + 1 + 1 + 631 + 9 + 5 + 1 + 5 + 0 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (9116319515041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18719341677 + ... + 18719342163.

It is an arithmetic number, because the mean of its divisors is an integer number (30548852460).

Almost surely, 2^{9116319515040} is an apocalyptic number.

9116319515040 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 9116319515040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17596139016960).

9116319515040 is an abundant number, since it is smaller than the sum of its proper divisors (26075958518880).

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

9116319515040 is a wasteful number, since it uses less digits than its factorization.

9116319515040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 45.

The spelling of 9116319515040 in words is "nine trillion, one hundred sixteen billion, three hundred nineteen million, five hundred fifteen thousand, forty".