9744241440 has 96 divisors (see below), whose sum is σ = 30721735296. Its totient is φ = 2596147200.

The previous prime is 9744241421. The next prime is 9744241457. The reversal of 9744241440 is 441424479.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 568029 + ... + 584931.

It is an arithmetic number, because the mean of its divisors is an integer number (320018076).

Almost surely, 2^9744241440 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 9744241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15360867648).

9744241440 is an abundant number, since it is smaller than the sum of its proper divisors (20977493856).

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

9744241440 is a wasteful number, since it uses less digits than its factorization.

9744241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18122 (or 18114 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 9744241440 is about 98712.9243817647. The cubic root of 9744241440 is about 2135.9086706451.

The spelling of 9744241440 in words is "nine billion, seven hundred forty-four million, two hundred forty-one thousand, four hundred forty".