12309983944440 has 1024 divisors, whose sum is σ = 47210153840640. Its totient is φ = 2498821816320.

The previous prime is 12309983944417. The next prime is 12309983944519. The reversal of 12309983944440 is 4444938990321.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 14036469282 + ... + 14036470158.

It is an arithmetic number, because the mean of its divisors is an integer number (46103665860).

Almost surely, 2^{12309983944440} is an apocalyptic number.

12309983944440 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 12309983944440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23605076920320).

12309983944440 is an abundant number, since it is smaller than the sum of its proper divisors (34900169896200).

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

12309983944440 is a wasteful number, since it uses less digits than its factorization.

12309983944440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 60.

The spelling of 12309983944440 in words is "twelve trillion, three hundred nine billion, nine hundred eighty-three million, nine hundred forty-four thousand, four hundred forty".