9040896000 has 560 divisors, whose sum is σ = 34017005880. Its totient is φ = 2388787200.

The previous prime is 9040895999. The next prime is 9040896013. The reversal of 9040896000 is 6980409.

9040896000 is a `hidden beast` number, since 9 + 0 + 40 + 8 + 9 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3519811584 + 5521084416 = 59328^2 + 74304^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 82943946 + ... + 82944054.

Almost surely, 2^9040896000 is an apocalyptic number.

9040896000 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 9040896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17008502940).

9040896000 is an abundant number, since it is smaller than the sum of its proper divisors (24976109880).

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

9040896000 is an equidigital number, since it uses as much as digits as its factorization.

9040896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 9040896000 is about 95083.6263507025. The cubic root of 9040896000 is about 2083.2296965335.

The spelling of 9040896000 in words is "nine billion, forty million, eight hundred ninety-six thousand".