9003296440320 has 2160 divisors, whose sum is σ = 38531790057600. Its totient is φ = 1778871435264.

The previous prime is 9003296440267. The next prime is 9003296440321. The reversal of 9003296440320 is 230446923009.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9003296440321) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45242695581 + ... + 45242695779.

Almost surely, 2^{9003296440320} 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 9003296440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19265895028800).

9003296440320 is an abundant number, since it is smaller than the sum of its proper divisors (29528493617280).

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

9003296440320 is a wasteful number, since it uses less digits than its factorization.

9003296440320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The spelling of 9003296440320 in words is "nine trillion, three billion, two hundred ninety-six million, four hundred forty thousand, three hundred twenty".