9930040900320 has 384 divisors, whose sum is σ = 33956759813760. Its totient is φ = 2429355294720.

The previous prime is 9930040900319. The next prime is 9930040900321. The reversal of 9930040900320 is 230090400399.

It is an interprime number because it is at equal distance from previous prime (9930040900319) and next prime (9930040900321).

It is a super-2 number, since 2×9930040900320² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9930040900321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 405809046 + ... + 405833514.

It is an arithmetic number, because the mean of its divisors is an integer number (88429062015).

Almost surely, 2^{9930040900320} 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 9930040900320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16978379906880).

9930040900320 is an abundant number, since it is smaller than the sum of its proper divisors (24026718913440).

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

9930040900320 is a wasteful number, since it uses less digits than its factorization.

9930040900320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25758 (or 25750 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 39.

The spelling of 9930040900320 in words is "nine trillion, nine hundred thirty billion, forty million, nine hundred thousand, three hundred twenty".