9009314371200 has 1536 divisors, whose sum is σ = 36451829433600. Its totient is φ = 1925657395200.

The previous prime is 9009314371163. The next prime is 9009314371231. The reversal of 9009314371200 is 21734139009.

It is a super-2 number, since 2×9009314371200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3861685234 + ... + 3861687566.

Almost surely, 2^{9009314371200} 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 9009314371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18225914716800).

9009314371200 is an abundant number, since it is smaller than the sum of its proper divisors (27442515062400).

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

9009314371200 is a wasteful number, since it uses less digits than its factorization.

9009314371200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2510 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The spelling of 9009314371200 in words is "nine trillion, nine billion, three hundred fourteen million, three hundred seventy-one thousand, two hundred".