9007313414400 has 1296 divisors, whose sum is σ = 37526752134144. Its totient is φ = 2018775121920.

The previous prime is 9007313414399. The next prime is 9007313414423. The reversal of 9007313414400 is 44143137009.

It is a super-2 number, since 2×9007313414400² (a number of 27 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 4443666187 + ... + 4443668213.

It is an arithmetic number, because the mean of its divisors is an integer number (28955827264).

Almost surely, 2^{9007313414400} is an apocalyptic number.

9007313414400 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 9007313414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18763376067072).

9007313414400 is an abundant number, since it is smaller than the sum of its proper divisors (28519438719744).

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

9007313414400 is a wasteful number, since it uses less digits than its factorization.

9007313414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 9007313414400 in words is "nine trillion, seven billion, three hundred thirteen million, four hundred fourteen thousand, four hundred".