9120731040 has 144 divisors (see below), whose sum is σ = 31334121000. Its totient is φ = 2415814656.

The previous prime is 9120731027. The next prime is 9120731051. The reversal of 9120731040 is 401370219.

9120731040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7764429456 + 1356301584 = 88116^2 + 36828^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 9120730995 and 9120731013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193306 + ... + 235814.

Almost surely, 2^9120731040 is an apocalyptic number.

9120731040 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 9120731040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15667060500).

9120731040 is an abundant number, since it is smaller than the sum of its proper divisors (22213389960).

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

9120731040 is a wasteful number, since it uses less digits than its factorization.

9120731040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42679 (or 42668 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 9120731040 is about 95502.5185008228. The cubic root of 9120731040 is about 2089.3436764584.

The spelling of 9120731040 in words is "nine billion, one hundred twenty million, seven hundred thirty-one thousand, forty".