12724735940 has 48 divisors (see below), whose sum is σ = 30562963200. Its totient is φ = 4359395712.

The previous prime is 12724735937. The next prime is 12724735949. The reversal of 12724735940 is 4953742721.

It is a junction number, because it is equal to n+sod(n) for n = 12724735891 and 12724735900.

It is not an unprimeable number, because it can be changed into a prime (12724735949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150206 + ... + 219114.

It is an arithmetic number, because the mean of its divisors is an integer number (636728400).

Almost surely, 2^12724735940 is an apocalyptic number.

12724735940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12724735940 is an abundant number, since it is smaller than the sum of its proper divisors (17838227260).

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

12724735940 is a wasteful number, since it uses less digits than its factorization.

12724735940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70244 (or 70242 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 44.

The spelling of 12724735940 in words is "twelve billion, seven hundred twenty-four million, seven hundred thirty-five thousand, nine hundred forty".