14450430400 has 168 divisors, whose sum is σ = 40708580000. Its totient is φ = 4945674240.

The previous prime is 14450430383. The next prime is 14450430413. The reversal of 14450430400 is 403405441.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11568976 + ... + 11570224.

Almost surely, 2^14450430400 is an apocalyptic number.

14450430400 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 14450430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20354290000).

14450430400 is an abundant number, since it is smaller than the sum of its proper divisors (26258149600).

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

14450430400 is a wasteful number, since it uses less digits than its factorization.

14450430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 14450430400 its reverse (403405441), we get a palindrome (14853835841).

The spelling of 14450430400 in words is "fourteen billion, four hundred fifty million, four hundred thirty thousand, four hundred".