9907450122240 has 936 divisors, whose sum is σ = 38908336192128. Its totient is φ = 2401447772160.

The previous prime is 9907450122191. The next prime is 9907450122329. The reversal of 9907450122240 is 422210547099.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1478058729 + ... + 1478065431.

It is an arithmetic number, because the mean of its divisors is an integer number (41568735248).

Almost surely, 2^{9907450122240} is an apocalyptic number.

9907450122240 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 9907450122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19454168096064).

9907450122240 is an abundant number, since it is smaller than the sum of its proper divisors (29000886069888).

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

9907450122240 is an frugal number, since it uses more digits than its factorization.

9907450122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6767 (or 6724 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 9907450122240 in words is "nine trillion, nine hundred seven billion, four hundred fifty million, one hundred twenty-two thousand, two hundred forty".