12346410240 has 216 divisors, whose sum is σ = 42868713888. Its totient is φ = 3280711680.

The previous prime is 12346410233. The next prime is 12346410257. The reversal of 12346410240 is 4201464321.

It is a happy number.

12346410240 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 6 + 410 + 240 = 666.

12346410240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3534895 + ... + 3538385.

It is an arithmetic number, because the mean of its divisors is an integer number (198466268).

Almost surely, 2^12346410240 is an apocalyptic number.

12346410240 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 12346410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21434356944).

12346410240 is an abundant number, since it is smaller than the sum of its proper divisors (30522303648).

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

12346410240 is a wasteful number, since it uses less digits than its factorization.

12346410240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3825 (or 3808 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 12346410240 its reverse (4201464321), we get a palindrome (16547874561).

The spelling of 12346410240 in words is "twelve billion, three hundred forty-six million, four hundred ten thousand, two hundred forty".