12440596930560 has 896 divisors, whose sum is σ = 46310342492160. Its totient is φ = 3162490011648.

The previous prime is 12440596930549. The next prime is 12440596930579. The reversal of 12440596930560 is 6503969504421.

12440596930560 is a `hidden beast` number, since 1 + 2 + 4 + 40 + 5 + 9 + 6 + 9 + 30 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12440596930497 and 12440596930506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9742048642 + ... + 9742049918.

Almost surely, 2^{12440596930560} is an apocalyptic number.

12440596930560 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 12440596930560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23155171246080).

12440596930560 is an abundant number, since it is smaller than the sum of its proper divisors (33869745561600).

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

12440596930560 is a wasteful number, since it uses less digits than its factorization.

12440596930560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1723 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 12440596930560 in words is "twelve trillion, four hundred forty billion, five hundred ninety-six million, nine hundred thirty thousand, five hundred sixty".