13193483721440 has 192 divisors, whose sum is σ = 35514123563520. Its totient is φ = 4588845373440.

The previous prime is 13193483721433. The next prime is 13193483721479. The reversal of 13193483721440 is 4412738439131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2125109 + ... + 5559051.

It is an arithmetic number, because the mean of its divisors is an integer number (184969393560).

Almost surely, 2^{13193483721440} is an apocalyptic number.

13193483721440 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 13193483721440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17757061781760).

13193483721440 is an abundant number, since it is smaller than the sum of its proper divisors (22320639842080).

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

13193483721440 is a wasteful number, since it uses less digits than its factorization.

13193483721440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3434065 (or 3434057 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 50.

The spelling of 13193483721440 in words is "thirteen trillion, one hundred ninety-three billion, four hundred eighty-three million, seven hundred twenty-one thousand, four hundred forty".