14351134400 has 84 divisors (see below), whose sum is σ = 35341724592. Its totient is φ = 5735746560.

The previous prime is 14351134379. The next prime is 14351134481. The reversal of 14351134400 is 443115341.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 14351134400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2465894 + ... + 2471706.

Almost surely, 2^14351134400 is an apocalyptic number.

14351134400 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 14351134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17670862296).

14351134400 is an abundant number, since it is smaller than the sum of its proper divisors (20990590192).

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

14351134400 is a wasteful number, since it uses less digits than its factorization.

14351134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7378 (or 7363 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 14351134400 its reverse (443115341), we get a palindrome (14794249741).

The spelling of 14351134400 in words is "fourteen billion, three hundred fifty-one million, one hundred thirty-four thousand, four hundred".