9608941440 has 1024 divisors, whose sum is σ = 42418944000. Its totient is φ = 2006581248.

The previous prime is 9608941417. The next prime is 9608941453. The reversal of 9608941440 is 441498069.

9608941440 is a `hidden beast` number, since 96 + 0 + 89 + 41 + 440 = 666.

9608941440 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 85034824 + ... + 85034936.

It is an arithmetic number, because the mean of its divisors is an integer number (41424750).

Almost surely, 2^9608941440 is an apocalyptic number.

9608941440 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 9608941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21209472000).

9608941440 is an abundant number, since it is smaller than the sum of its proper divisors (32810002560).

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

9608941440 is a wasteful number, since it uses less digits than its factorization.

9608941440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 9608941440 is about 98025.2081864660. The cubic root of 9608941440 is about 2125.9767737404.

The spelling of 9608941440 in words is "nine billion, six hundred eight million, nine hundred forty-one thousand, four hundred forty".