13411442341000 has 256 divisors, whose sum is σ = 37499624697600. Its totient is φ = 4431734272000.

The previous prime is 13411442340991. The next prime is 13411442341007. The reversal of 13411442341000 is 14324411431.

It is a self number, because there is not a number n which added to its sum of digits gives 13411442341000.

It is not an unprimeable number, because it can be changed into a prime (13411442341007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4186467 + ... + 6659533.

It is an arithmetic number, because the mean of its divisors is an integer number (146482908975).

Almost surely, 2^{13411442341000} is an apocalyptic number.

13411442341000 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 13411442341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18749812348800).

13411442341000 is an abundant number, since it is smaller than the sum of its proper divisors (24088182356600).

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

13411442341000 is a wasteful number, since it uses less digits than its factorization.

13411442341000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2473145 (or 2473131 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 13411442341000 its reverse (14324411431), we get a palindrome (13425766752431).

The spelling of 13411442341000 in words is "thirteen trillion, four hundred eleven billion, four hundred forty-two million, three hundred forty-one thousand".