13740874480 has 160 divisors (see below), whose sum is σ = 34897766400. Its totient is φ = 5013964800.

The previous prime is 13740874471. The next prime is 13740874487. The reversal of 13740874480 is 8447804731.

It is a self number, because there is not a number n which added to its sum of digits gives 13740874480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13740874487) 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, 4921885 + ... + 4924675.

It is an arithmetic number, because the mean of its divisors is an integer number (218111040).

Almost surely, 2^13740874480 is an apocalyptic number.

13740874480 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 13740874480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17448883200).

13740874480 is an abundant number, since it is smaller than the sum of its proper divisors (21156891920).

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

13740874480 is a wasteful number, since it uses less digits than its factorization.

13740874480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2943 (or 2937 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 46.

The spelling of 13740874480 in words is "thirteen billion, seven hundred forty million, eight hundred seventy-four thousand, four hundred eighty".