12410510442344 has 128 divisors (see below), whose sum is σ = 27122891904000. Its totient is φ = 5213540630016.

The previous prime is 12410510442307. The next prime is 12410510442367. The reversal of 12410510442344 is 44324401501421.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3894102719 + ... + 3894105905.

It is an arithmetic number, because the mean of its divisors is an integer number (211897593000).

Almost surely, 2^{12410510442344} is an apocalyptic number.

12410510442344 is a gapful number since it is divisible by the number (14) 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 12410510442344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13561445952000).

12410510442344 is an abundant number, since it is smaller than the sum of its proper divisors (14712381461656).

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

12410510442344 is a wasteful number, since it uses less digits than its factorization.

12410510442344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6295 (or 6291 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

Adding to 12410510442344 its reverse (44324401501421), we get a palindrome (56734911943765).

The spelling of 12410510442344 in words is "twelve trillion, four hundred ten billion, five hundred ten million, four hundred forty-two thousand, three hundred forty-four".