14034144000 has 432 divisors, whose sum is σ = 48910548960. Its totient is φ = 3562496000.

The previous prime is 14034143927. The next prime is 14034144037. The reversal of 14034144000 is 44143041.

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, 197663965 + ... + 197664035.

Almost surely, 2^14034144000 is an apocalyptic number.

14034144000 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 14034144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24455274480).

14034144000 is an abundant number, since it is smaller than the sum of its proper divisors (34876404960).

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

14034144000 is an frugal number, since it uses more digits than its factorization.

14034144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 14034144000 its reverse (44143041), we get a palindrome (14078287041).

The spelling of 14034144000 in words is "fourteen billion, thirty-four million, one hundred forty-four thousand".