9312791040 has 720 divisors, whose sum is σ = 38369104488. Its totient is φ = 2080899072.

The previous prime is 9312791039. The next prime is 9312791051. The reversal of 9312791040 is 401972139.

It can be written as a sum of positive squares in 4 ways, for example, as 4931410176 + 4381380864 = 70224^2 + 66192^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9312790986 and 9312791004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 82414024 + ... + 82414136.

Almost surely, 2^9312791040 is an apocalyptic number.

9312791040 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 9312791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19184552244).

9312791040 is an abundant number, since it is smaller than the sum of its proper divisors (29056313448).

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

9312791040 is a wasteful number, since it uses less digits than its factorization.

9312791040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 9312791040 is about 96502.8032753453. The cubic root of 9312791040 is about 2103.9073918190.

The spelling of 9312791040 in words is "nine billion, three hundred twelve million, seven hundred ninety-one thousand, forty".