12368240438400 has 4608 divisors, whose sum is σ = 62649490176000. Its totient is φ = 2329863782400.

The previous prime is 12368240438363. The next prime is 12368240438401. The reversal of 12368240438400 is 483404286321.

It is a happy number.

12368240438400 is a `hidden beast` number, since 1 + 2 + 368 + 240 + 4 + 3 + 8 + 40 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12368240438401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 29518473391 + ... + 29518473809.

It is an arithmetic number, because the mean of its divisors is an integer number (13595809500).

Almost surely, 2^{12368240438400} is an apocalyptic number.

12368240438400 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 12368240438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31324745088000).

12368240438400 is an abundant number, since it is smaller than the sum of its proper divisors (50281249737600).

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

12368240438400 is a wasteful number, since it uses less digits than its factorization.

12368240438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 12368240438400 in words is "twelve trillion, three hundred sixty-eight billion, two hundred forty million, four hundred thirty-eight thousand, four hundred".