8241971448320 has 240 divisors, whose sum is σ = 20449180391904. Its totient is φ = 3185796096000.

The previous prime is 8241971448311. The next prime is 8241971448437. The reversal of 8241971448320 is 238441791428.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2034550295 + ... + 2034554345.

Almost surely, 2^{8241971448320} is an apocalyptic number.

8241971448320 is a gapful number since it is divisible by the number (80) 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 8241971448320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10224590195952).

8241971448320 is an abundant number, since it is smaller than the sum of its proper divisors (12207208943584).

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

8241971448320 is an equidigital number, since it uses as much as digits as its factorization.

8241971448320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4963 (or 4916 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 53.

The spelling of 8241971448320 in words is "eight trillion, two hundred forty-one billion, nine hundred seventy-one million, four hundred forty-eight thousand, three hundred twenty".