13420082749440 has 896 divisors, whose sum is σ = 47329496156160. Its totient is φ = 3233061797888.

The previous prime is 13420082749439. The next prime is 13420082749483. The reversal of 13420082749440 is 4494728002431.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 13420082749440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5203598071 + ... + 5203600649.

Almost surely, 2^{13420082749440} is an apocalyptic number.

13420082749440 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 13420082749440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23664748078080).

13420082749440 is an abundant number, since it is smaller than the sum of its proper divisors (33909413406720).

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

13420082749440 is a wasteful number, since it uses less digits than its factorization.

13420082749440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2730 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 13420082749440 in words is "thirteen trillion, four hundred twenty billion, eighty-two million, seven hundred forty-nine thousand, four hundred forty".