12641316443440 has 80 divisors (see below), whose sum is σ = 29588597637120. Its totient is φ = 5022548294400.

The previous prime is 12641316443381. The next prime is 12641316443461. The reversal of 12641316443440 is 4434461314621.

12641316443440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139104097 + ... + 139194943.

It is an arithmetic number, because the mean of its divisors is an integer number (369857470464).

Almost surely, 2^{12641316443440} is an apocalyptic number.

12641316443440 is a gapful number since it is divisible by the number (10) 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 12641316443440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14794298818560).

12641316443440 is an abundant number, since it is smaller than the sum of its proper divisors (16947281193680).

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

12641316443440 is a wasteful number, since it uses less digits than its factorization.

12641316443440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102530 (or 102524 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 43.

The spelling of 12641316443440 in words is "twelve trillion, six hundred forty-one billion, three hundred sixteen million, four hundred forty-three thousand, four hundred forty".