14410132000000 has 756 divisors, whose sum is σ = 41626804670080. Its totient is φ = 4961088000000.

The previous prime is 14410131999947. The next prime is 14410132000063. The reversal of 14410132000000 is 23101441.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 9195999217 + ... + 9196000783.

Almost surely, 2^{14410132000000} is an apocalyptic number.

14410132000000 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 14410132000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20813402335040).

14410132000000 is an abundant number, since it is smaller than the sum of its proper divisors (27216672670080).

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

14410132000000 is an frugal number, since it uses more digits than its factorization.

14410132000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 14410132000000 its reverse (23101441), we get a palindrome (14410155101441).

The spelling of 14410132000000 in words is "fourteen trillion, four hundred ten billion, one hundred thirty-two million", and thus it is an aban number.