9991242240 has 160 divisors (see below), whose sum is σ = 36503913600. Its totient is φ = 2283700224.

The previous prime is 9991242203. The next prime is 9991242263. The reversal of 9991242240 is 422421999.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a junction number, because it is equal to n+sod(n) for n = 9991242192 and 9991242201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39165 + ... + 146684.

It is an arithmetic number, because the mean of its divisors is an integer number (228149460).

Almost surely, 2^9991242240 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 9991242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18251956800).

9991242240 is an abundant number, since it is smaller than the sum of its proper divisors (26512671360).

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

9991242240 is a wasteful number, since it uses less digits than its factorization.

9991242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185882 (or 185866 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 9991242240 is about 99956.2016085045. The cubic root of 9991242240 is about 2153.8055722757.

The spelling of 9991242240 in words is "nine billion, nine hundred ninety-one million, two hundred forty-two thousand, two hundred forty".