9008040000 has 280 divisors, whose sum is σ = 30000496768. Its totient is φ = 2384640000.

The previous prime is 9008039959. The next prime is 9008040071. The reversal of 9008040000 is 408009.

It is a super-2 number, since 2×9008040000² (a number of 21 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 32519862 + ... + 32520138.

Almost surely, 2^9008040000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9008040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15000248384).

9008040000 is an abundant number, since it is smaller than the sum of its proper divisors (20992456768).

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

9008040000 is a wasteful number, since it uses less digits than its factorization.

9008040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 9008040000 is about 94910.6948662794. The cubic root of 9008040000 is about 2080.7030414374.

Adding to 9008040000 its reverse (408009), we get a palindrome (9008448009).

The spelling of 9008040000 in words is "nine billion, eight million, forty thousand".