12724439040 has 720 divisors, whose sum is σ = 49321572300. Its totient is φ = 3133734912.

The previous prime is 12724439033. The next prime is 12724439051. The reversal of 12724439040 is 4093442721.

12724439040 is a `hidden beast` number, since 1 + 27 + 244 + 390 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12680561664 + 43877376 = 112608^2 + 6624^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×12724439040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12724438986 and 12724439004.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 438773746 + ... + 438773774.

Almost surely, 2^12724439040 is an apocalyptic number.

12724439040 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 12724439040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24660786150).

12724439040 is an abundant number, since it is smaller than the sum of its proper divisors (36597133260).

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

12724439040 is an equidigital number, since it uses as much as digits as its factorization.

12724439040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 12724439040 in words is "twelve billion, seven hundred twenty-four million, four hundred thirty-nine thousand, forty".