12440738304 has 120 divisors (see below), whose sum is σ = 37143309060. Its totient is φ = 4003872768.

The previous prime is 12440738291. The next prime is 12440738311. The reversal of 12440738304 is 40383704421.

It can be written as a sum of positive squares in 2 ways, for example, as 12347654400 + 93083904 = 111120^2 + 9648^2 .

It is a super-2 number, since 2×12440738304² (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 an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 87084 + ... + 180180.

Almost surely, 2^12440738304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12440738304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18571654530).

12440738304 is an abundant number, since it is smaller than the sum of its proper divisors (24702570756).

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

12440738304 is an equidigital number, since it uses as much as digits as its factorization.

12440738304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93150 (or 93131 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 12440738304 in words is "twelve billion, four hundred forty million, seven hundred thirty-eight thousand, three hundred four".