12713789440 has 288 divisors, whose sum is σ = 34717213440. Its totient is φ = 4460544000.

The previous prime is 12713789437. The next prime is 12713789449. The reversal of 12713789440 is 4498731721.

It is a super-3 number, since 3×12713789440³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12713789449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38410075 + ... + 38410405.

It is an arithmetic number, because the mean of its divisors is an integer number (120545880).

Almost surely, 2^12713789440 is an apocalyptic number.

12713789440 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 12713789440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17358606720).

12713789440 is an abundant number, since it is smaller than the sum of its proper divisors (22003424000).

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

12713789440 is a wasteful number, since it uses less digits than its factorization.

12713789440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The spelling of 12713789440 in words is "twelve billion, seven hundred thirteen million, seven hundred eighty-nine thousand, four hundred forty".