9901411320 has 128 divisors (see below), whose sum is σ = 31601975040. Its totient is φ = 2473175040.

The previous prime is 9901411319. The next prime is 9901411343. The reversal of 9901411320 is 231141099.

It is a super-2 number, since 2×9901411320² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418939 + ... + 441941.

It is an arithmetic number, because the mean of its divisors is an integer number (246890430).

Almost surely, 2^9901411320 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 9901411320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15800987520).

9901411320 is an abundant number, since it is smaller than the sum of its proper divisors (21700563720).

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

9901411320 is a wasteful number, since it uses less digits than its factorization.

9901411320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23245 (or 23241 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 9901411320 is about 99505.8356077672. The cubic root of 9901411320 is about 2147.3311987657.

The spelling of 9901411320 in words is "nine billion, nine hundred one million, four hundred eleven thousand, three hundred twenty".