13330340357472 has 192 divisors, whose sum is σ = 39034191651840. Its totient is φ = 4425863597568.

The previous prime is 13330340357471. The next prime is 13330340357483. The reversal of 13330340357472 is 27475304303331.

13330340357472 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 0 + 3 + 4 + 0 + 3 + 574 + 72 = 666.

13330340357472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13330340357471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 394406878 + ... + 394440674.

It is an arithmetic number, because the mean of its divisors is an integer number (203303081520).

Almost surely, 2^{13330340357472} is an apocalyptic number.

13330340357472 is a gapful number since it is divisible by the number (12) 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 13330340357472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19517095825920).

13330340357472 is an abundant number, since it is smaller than the sum of its proper divisors (25703851294368).

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

13330340357472 is a wasteful number, since it uses less digits than its factorization.

13330340357472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35610 (or 35596 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 45.

The spelling of 13330340357472 in words is "thirteen trillion, three hundred thirty billion, three hundred forty million, three hundred fifty-seven thousand, four hundred seventy-two".