12344512440 has 128 divisors (see below), whose sum is σ = 39942100800. Its totient is φ = 3034091520.

The previous prime is 12344512423. The next prime is 12344512441. The reversal of 12344512440 is 4421544321.

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

It is a junction number, because it is equal to n+sod(n) for n = 12344512398 and 12344512407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12344512441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1100460 + ... + 1111620.

Almost surely, 2^12344512440 is an apocalyptic number.

12344512440 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 12344512440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19971050400).

12344512440 is an abundant number, since it is smaller than the sum of its proper divisors (27597588360).

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

12344512440 is a wasteful number, since it uses less digits than its factorization.

12344512440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11897 (or 11893 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The spelling of 12344512440 in words is "twelve billion, three hundred forty-four million, five hundred twelve thousand, four hundred forty".