9118967040 has 360 divisors, whose sum is σ = 32850068328. Its totient is φ = 2415329280.

The previous prime is 9118967003. The next prime is 9118967041. The reversal of 9118967040 is 407698119.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 31539456 + 9087427584 = 5616^2 + 95328^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9118967041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29133924 + ... + 29134236.

Almost surely, 2^9118967040 is an apocalyptic number.

9118967040 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 9118967040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16425034164).

9118967040 is an abundant number, since it is smaller than the sum of its proper divisors (23731101288).

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

9118967040 is a wasteful number, since it uses less digits than its factorization.

9118967040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 9118967040 is about 95493.2826956954. The cubic root of 9118967040 is about 2089.2089708864.

The spelling of 9118967040 in words is "nine billion, one hundred eighteen million, nine hundred sixty-seven thousand, forty".