14144130000 has 1200 divisors, whose sum is σ = 66836305536. Its totient is φ = 2695680000.

The previous prime is 14144129959. The next prime is 14144130019. The reversal of 14144130000 is 3144141.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 90089922 + ... + 90090078.

Almost surely, 2^14144130000 is an apocalyptic number.

14144130000 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 14144130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33418152768).

14144130000 is an abundant number, since it is smaller than the sum of its proper divisors (52692175536).

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

14144130000 is a wasteful number, since it uses less digits than its factorization.

14144130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 14144130000 its reverse (3144141), we get a palindrome (14147274141).

The spelling of 14144130000 in words is "fourteen billion, one hundred forty-four million, one hundred thirty thousand".