12714424320 has 576 divisors, whose sum is σ = 46042214400. Its totient is φ = 2990407680.

The previous prime is 12714424319. The next prime is 12714424363. The reversal of 12714424320 is 2342441721.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160942041 + ... + 160942119.

It is an arithmetic number, because the mean of its divisors is an integer number (79934400).

Almost surely, 2^12714424320 is an apocalyptic number.

12714424320 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 12714424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23021107200).

12714424320 is an abundant number, since it is smaller than the sum of its proper divisors (33327790080).

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

12714424320 is a wasteful number, since it uses less digits than its factorization.

12714424320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The spelling of 12714424320 in words is "twelve billion, seven hundred fourteen million, four hundred twenty-four thousand, three hundred twenty".