14241323415100 has 144 divisors (see below), whose sum is σ = 31250446718400. Its totient is φ = 5633015040000.

The previous prime is 14241323415001. The next prime is 14241323415161. The reversal of 14241323415100 is 151432314241.

It is a happy number.

It is a super-2 number, since 2×14241323415100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3342246970 + ... + 3342251230.

It is an arithmetic number, because the mean of its divisors is an integer number (217016991100).

Almost surely, 2^{14241323415100} is an apocalyptic number.

14241323415100 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 14241323415100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15625223359200).

14241323415100 is an abundant number, since it is smaller than the sum of its proper divisors (17009123303300).

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

14241323415100 is a wasteful number, since it uses less digits than its factorization.

14241323415100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5384 (or 5377 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 14241323415100 its reverse (151432314241), we get a palindrome (14392755729341).

The spelling of 14241323415100 in words is "fourteen trillion, two hundred forty-one billion, three hundred twenty-three million, four hundred fifteen thousand, one hundred".