12344101010340 has 384 divisors, whose sum is σ = 39928040570880. Its totient is φ = 2818042214400.

The previous prime is 12344101010327. The next prime is 12344101010369. The reversal of 12344101010340 is 4301010144321.

12344101010340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12344101010340.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4503501370 + ... + 4503504110.

It is an arithmetic number, because the mean of its divisors is an integer number (103979272320).

Almost surely, 2^{12344101010340} is an apocalyptic number.

12344101010340 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 12344101010340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19964020285440).

12344101010340 is an abundant number, since it is smaller than the sum of its proper divisors (27583939560540).

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

12344101010340 is a wasteful number, since it uses less digits than its factorization.

12344101010340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4803 (or 4801 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12344101010340 its reverse (4301010144321), we get a palindrome (16645111154661).

The spelling of 12344101010340 in words is "twelve trillion, three hundred forty-four billion, one hundred one million, ten thousand, three hundred forty".