9408848640000 has 480 divisors, whose sum is σ = 32995138176000. Its totient is φ = 2376953856000.

The previous prime is 9408848639989. The next prime is 9408848640001. The reversal of 9408848640000 is 468488049.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9408848640001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 72895521 + ... + 73024479.

It is an arithmetic number, because the mean of its divisors is an integer number (68739871200).

Almost surely, 2^{9408848640000} 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 9408848640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16497569088000).

9408848640000 is an abundant number, since it is smaller than the sum of its proper divisors (23586289536000).

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

9408848640000 is a wasteful number, since it uses less digits than its factorization.

9408848640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129023 (or 128988 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The spelling of 9408848640000 in words is "nine trillion, four hundred eight billion, eight hundred forty-eight million, six hundred forty thousand".