8441321720832 has 1408 divisors, whose sum is σ = 34651511193600. Its totient is φ = 1958407372800.

The previous prime is 8441321720753. The next prime is 8441321720879. The reversal of 8441321720832 is 2380271231448.

8441321720832 is a `hidden beast` number, since 8 + 4 + 413 + 21 + 7 + 208 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 857940169 + ... + 857950007.

Almost surely, 2^{8441321720832} 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 8441321720832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17325755596800).

8441321720832 is an abundant number, since it is smaller than the sum of its proper divisors (26210189472768).

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

8441321720832 is a wasteful number, since it uses less digits than its factorization.

8441321720832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9930 (or 9906 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 8441321720832 in words is "eight trillion, four hundred forty-one billion, three hundred twenty-one million, seven hundred twenty thousand, eight hundred thirty-two".