12335244040440 has 192 divisors, whose sum is σ = 41870940733440. Its totient is φ = 3143494844160.

The previous prime is 12335244040433. The next prime is 12335244040447. The reversal of 12335244040440 is 4404044253321.

12335244040440 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 5 + 244 + 0 + 404 + 4 + 0 = 666.

12335244040440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12335244040433) and next prime (12335244040447).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12335244040395 and 12335244040404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12335244040447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8350729 + ... + 9716231.

It is an arithmetic number, because the mean of its divisors is an integer number (218077816320).

Almost surely, 2^{12335244040440} is an apocalyptic number.

12335244040440 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 12335244040440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20935470366720).

12335244040440 is an abundant number, since it is smaller than the sum of its proper divisors (29535696693000).

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

12335244040440 is a wasteful number, since it uses less digits than its factorization.

12335244040440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366634 (or 1366627 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 12335244040440 its reverse (4404044253321), we get a palindrome (16739288293761).

The spelling of 12335244040440 in words is "twelve trillion, three hundred thirty-five billion, two hundred forty-four million, forty thousand, four hundred forty".