12944589409000 has 256 divisors, whose sum is σ = 31746744057600. Its totient is φ = 4936111488000.

The previous prime is 12944589408983. The next prime is 12944589409027. The reversal of 12944589409000 is 90498544921.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 314008390 + ... + 314049610.

It is an arithmetic number, because the mean of its divisors is an integer number (124010718975).

Almost surely, 2^{12944589409000} is an apocalyptic number.

12944589409000 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 12944589409000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15873372028800).

12944589409000 is an abundant number, since it is smaller than the sum of its proper divisors (18802154648600).

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

12944589409000 is a wasteful number, since it uses less digits than its factorization.

12944589409000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41461 (or 41447 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 55.

The spelling of 12944589409000 in words is "twelve trillion, nine hundred forty-four billion, five hundred eighty-nine million, four hundred nine thousand".