14351214400 has 168 divisors, whose sum is σ = 36872997120. Its totient is φ = 5491200000.

The previous prime is 14351214373. The next prime is 14351214473. The reversal of 14351214400 is 441215341.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4412775 + ... + 4416025.

Almost surely, 2^14351214400 is an apocalyptic number.

14351214400 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 14351214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18436498560).

14351214400 is an abundant number, since it is smaller than the sum of its proper divisors (22521782720).

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

14351214400 is a wasteful number, since it uses less digits than its factorization.

14351214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3393 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 14351214400 its reverse (441215341), we get a palindrome (14792429741).

The spelling of 14351214400 in words is "fourteen billion, three hundred fifty-one million, two hundred fourteen thousand, four hundred".