14430064400 has 60 divisors (see below), whose sum is σ = 34768472592. Its totient is φ = 5755336320.

The previous prime is 14430064381. The next prime is 14430064427. The reversal of 14430064400 is 446003441.

It is a self number, because there is not a number n which added to its sum of digits gives 14430064400.

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, 86819 + ... + 190781.

Almost surely, 2^14430064400 is an apocalyptic number.

14430064400 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 14430064400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17384236296).

14430064400 is an abundant number, since it is smaller than the sum of its proper divisors (20338408192).

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

14430064400 is a wasteful number, since it uses less digits than its factorization.

14430064400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104328 (or 104317 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 14430064400 its reverse (446003441), we get a palindrome (14876067841).

The spelling of 14430064400 in words is "fourteen billion, four hundred thirty million, sixty-four thousand, four hundred".