13261441720320 has 616 divisors, whose sum is σ = 47746713366936. Its totient is φ = 3535739486208.

The previous prime is 13261441720313. The next prime is 13261441720333. The reversal of 13261441720320 is 2302714416231.

13261441720320 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 1 + 441 + 7 + 203 + 2 + 0 = 666.

It is a super-2 number, since 2×13261441720320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 2418644299 + ... + 2418649781.

Almost surely, 2^{13261441720320} is an apocalyptic number.

13261441720320 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 13261441720320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23873356683468).

13261441720320 is an abundant number, since it is smaller than the sum of its proper divisors (34485271646616).

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

13261441720320 is an frugal number, since it uses more digits than its factorization.

13261441720320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5544 (or 5493 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 13261441720320 in words is "thirteen trillion, two hundred sixty-one billion, four hundred forty-one million, seven hundred twenty thousand, three hundred twenty".