14244032413100 has 144 divisors (see below), whose sum is σ = 35396199873216. Its totient is φ = 4873858560000.

The previous prime is 14244032412989. The next prime is 14244032413129. The reversal of 14244032413100 is 131423044241.

It is a super-2 number, since 2×14244032413100² (a number of 27 digits) contains 22 as substring.

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, 2218347890 + ... + 2218354310.

It is an arithmetic number, because the mean of its divisors is an integer number (245806943564).

Almost surely, 2^{14244032413100} is an apocalyptic number.

14244032413100 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 14244032413100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17698099936608).

14244032413100 is an abundant number, since it is smaller than the sum of its proper divisors (21152167460116).

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

14244032413100 is a wasteful number, since it uses less digits than its factorization.

14244032413100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12316 (or 12309 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 14244032413100 its reverse (131423044241), we get a palindrome (14375455457341).

The spelling of 14244032413100 in words is "fourteen trillion, two hundred forty-four billion, thirty-two million, four hundred thirteen thousand, one hundred".