12410410220340 has 192 divisors, whose sum is σ = 38136832376832. Its totient is φ = 2990460889600.

The previous prime is 12410410220333. The next prime is 12410410220381. The reversal of 12410410220340 is 4302201401421.

12410410220340 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 12410410220340.

It is a congruent number.

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, 161696614 + ... + 161773346.

It is an arithmetic number, because the mean of its divisors is an integer number (198629335296).

Almost surely, 2^{12410410220340} is an apocalyptic number.

12410410220340 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 12410410220340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19068416188416).

12410410220340 is an abundant number, since it is smaller than the sum of its proper divisors (25726422156492).

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

12410410220340 is a wasteful number, since it uses less digits than its factorization.

12410410220340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78230 (or 78228 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12410410220340 its reverse (4302201401421), we get a palindrome (16712611621761).

The spelling of 12410410220340 in words is "twelve trillion, four hundred ten billion, four hundred ten million, two hundred twenty thousand, three hundred forty".