12436270340256 has 864 divisors, whose sum is σ = 44314593523200. Its totient is φ = 3231500313600.

The previous prime is 12436270340251. The next prime is 12436270340257. The reversal of 12436270340256 is 65204307263421.

12436270340256 is a `hidden beast` number, since 1 + 2 + 4 + 36 + 27 + 0 + 340 + 256 = 666.

It is a super-3 number, since 3×12436270340256³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12436270340251) 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 143 ways as a sum of consecutive naturals, for example, 4822127575 + ... + 4822130153.

It is an arithmetic number, because the mean of its divisors is an integer number (51290038800).

Almost surely, 2^{12436270340256} is an apocalyptic number.

12436270340256 is a gapful number since it is divisible by the number (16) 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 12436270340256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22157296761600).

12436270340256 is an abundant number, since it is smaller than the sum of its proper divisors (31878323182944).

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

12436270340256 is a wasteful number, since it uses less digits than its factorization.

12436270340256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2814 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 12436270340256 in words is "twelve trillion, four hundred thirty-six billion, two hundred seventy million, three hundred forty thousand, two hundred fifty-six".