12444132340 has 24 divisors (see below), whose sum is σ = 26136157320. Its totient is φ = 4976990208.

The previous prime is 12444132329. The next prime is 12444132341. The reversal of 12444132340 is 4323144421.

It can be written as a sum of positive squares in 4 ways, for example, as 2722961124 + 9721171216 = 52182^2 + 98596^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12444132299 and 12444132308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12444132341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129816 + ... + 204304.

It is an arithmetic number, because the mean of its divisors is an integer number (1089006555).

Almost surely, 2^12444132340 is an apocalyptic number.

12444132340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12444132340 is an abundant number, since it is smaller than the sum of its proper divisors (13692024980).

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

12444132340 is a wasteful number, since it uses less digits than its factorization.

12444132340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82851 (or 82849 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 12444132340 its reverse (4323144421), we get a palindrome (16767276761).

The spelling of 12444132340 in words is "twelve billion, four hundred forty-four million, one hundred thirty-two thousand, three hundred forty".