9224415301920 has 768 divisors, whose sum is σ = 36688851763200. Its totient is φ = 1896204681216.

The previous prime is 9224415301919. The next prime is 9224415301961. The reversal of 9224415301920 is 291035144229.

9224415301920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 457800006 + ... + 457820154.

It is an arithmetic number, because the mean of its divisors is an integer number (47771942400).

Almost surely, 2^{9224415301920} 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 9224415301920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18344425881600).

9224415301920 is an abundant number, since it is smaller than the sum of its proper divisors (27464436461280).

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

9224415301920 is a wasteful number, since it uses less digits than its factorization.

9224415301920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20457 (or 20449 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 9224415301920 in words is "nine trillion, two hundred twenty-four billion, four hundred fifteen million, three hundred one thousand, nine hundred twenty".