12338407776240 has 960 divisors, whose sum is σ = 56840811955200. Its totient is φ = 2321176559616.

The previous prime is 12338407776209. The next prime is 12338407776241. The reversal of 12338407776240 is 4267770483321.

12338407776240 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 8 + 4 + 0 + 7 + 7 + 7 + 624 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12338407776241) 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 191 ways as a sum of consecutive naturals, for example, 20871451 + ... + 21454469.

It is an arithmetic number, because the mean of its divisors is an integer number (59209179120).

Almost surely, 2^{12338407776240} is an apocalyptic number.

12338407776240 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 12338407776240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28420405977600).

12338407776240 is an abundant number, since it is smaller than the sum of its proper divisors (44502404178960).

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

12338407776240 is a wasteful number, since it uses less digits than its factorization.

12338407776240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583094 (or 583085 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 12338407776240 in words is "twelve trillion, three hundred thirty-eight billion, four hundred seven million, seven hundred seventy-six thousand, two hundred forty".