12368593440 has 576 divisors, whose sum is σ = 51712577280. Its totient is φ = 2627665920.

The previous prime is 12368593439. The next prime is 12368593513. The reversal of 12368593440 is 4439586321.

12368593440 is a `hidden beast` number, since 12 + 3 + 6 + 8 + 593 + 4 + 40 = 666.

It is a super-2 number, since 2×12368593440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 15250635 + ... + 15251445.

It is an arithmetic number, because the mean of its divisors is an integer number (89778780).

Almost surely, 2^12368593440 is an apocalyptic number.

12368593440 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 12368593440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25856288640).

12368593440 is an abundant number, since it is smaller than the sum of its proper divisors (39343983840).

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

12368593440 is a wasteful number, since it uses less digits than its factorization.

12368593440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 12368593440 in words is "twelve billion, three hundred sixty-eight million, five hundred ninety-three thousand, four hundred forty".