12410507225808 has 480 divisors, whose sum is σ = 38640429235200. Its totient is φ = 3703068057600.

The previous prime is 12410507225803. The next prime is 12410507225849. The reversal of 12410507225808 is 80852270501421.

12410507225808 is a `hidden beast` number, since 1 + 2 + 4 + 10 + 50 + 7 + 2 + 2 + 580 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12410507225803) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 708798558 + ... + 708816066.

It is an arithmetic number, because the mean of its divisors is an integer number (80500894240).

Almost surely, 2^{12410507225808} is an apocalyptic number.

12410507225808 is a gapful number since it is divisible by the number (18) 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 12410507225808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19320214617600).

12410507225808 is an abundant number, since it is smaller than the sum of its proper divisors (26229922009392).

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

12410507225808 is a wasteful number, since it uses less digits than its factorization.

12410507225808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17771 (or 17762 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 12410507225808 in words is "twelve trillion, four hundred ten billion, five hundred seven million, two hundred twenty-five thousand, eight hundred eight".