12440719368 has 576 divisors, whose sum is σ = 45891256320. Its totient is φ = 3118953600.

The previous prime is 12440719331. The next prime is 12440719373. The reversal of 12440719368 is 86391704421.

12440719368 is a `hidden beast` number, since 12 + 440 + 7 + 193 + 6 + 8 = 666.

It is a super-3 number, since 3×12440719368³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32482105 + ... + 32482487.

It is an arithmetic number, because the mean of its divisors is an integer number (79672320).

Almost surely, 2^12440719368 is an apocalyptic number.

12440719368 is a gapful number since it is divisible by the number (18) 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 12440719368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22945628160).

12440719368 is an abundant number, since it is smaller than the sum of its proper divisors (33450536952).

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

12440719368 is a wasteful number, since it uses less digits than its factorization.

12440719368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 12440719368 in words is "twelve billion, four hundred forty million, seven hundred nineteen thousand, three hundred sixty-eight".