13728075340 has 96 divisors (see below), whose sum is σ = 34190327808. Its totient is φ = 4530816000.

The previous prime is 13728075313. The next prime is 13728075353. The reversal of 13728075340 is 4357082731.

It is a happy number.

It is a super-2 number, since 2×13728075340² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13728075293 and 13728075302.

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, 820660 + ... + 837220.

It is an arithmetic number, because the mean of its divisors is an integer number (356149248).

Almost surely, 2^13728075340 is an apocalyptic number.

13728075340 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 13728075340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17095163904).

13728075340 is an abundant number, since it is smaller than the sum of its proper divisors (20462252468).

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

13728075340 is a wasteful number, since it uses less digits than its factorization.

13728075340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16799 (or 16797 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 13728075340 in words is "thirteen billion, seven hundred twenty-eight million, seventy-five thousand, three hundred forty".