9400915794920 has 192 divisors, whose sum is σ = 24269078891520. Its totient is φ = 3264571994112.

The previous prime is 9400915794883. The next prime is 9400915794943. The reversal of 9400915794920 is 294975190049.

9400915794920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 9400915794920.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163502417 + ... + 163559903.

It is an arithmetic number, because the mean of its divisors is an integer number (126401452560).

Almost surely, 2^{9400915794920} 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 9400915794920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12134539445760).

9400915794920 is an abundant number, since it is smaller than the sum of its proper divisors (14868163096600).

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

9400915794920 is a wasteful number, since it uses less digits than its factorization.

9400915794920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58964 (or 58947 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 59.

The spelling of 9400915794920 in words is "nine trillion, four hundred billion, nine hundred fifteen million, seven hundred ninety-four thousand, nine hundred twenty".