8441915641600 has 432 divisors, whose sum is σ = 24396790505472. Its totient is φ = 2832040673280.

The previous prime is 8441915641567. The next prime is 8441915641631. The reversal of 8441915641600 is 61465191448.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 909390559 + ... + 909399841.

It is an arithmetic number, because the mean of its divisors is an integer number (56474052096).

Almost surely, 2^{8441915641600} is an apocalyptic number.

8441915641600 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 8441915641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12198395252736).

8441915641600 is an abundant number, since it is smaller than the sum of its proper divisors (15954874863872).

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

8441915641600 is a wasteful number, since it uses less digits than its factorization.

8441915641600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9752 (or 9733 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 49.

The spelling of 8441915641600 in words is "eight trillion, four hundred forty-one billion, nine hundred fifteen million, six hundred forty-one thousand, six hundred".