14005430400 has 192 divisors, whose sum is σ = 49679320320. Its totient is φ = 3447459840.

The previous prime is 14005430389. The next prime is 14005430401. The reversal of 14005430400 is 403450041.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (14005430401) by changing a digit.

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, 68689 + ... + 180911.

It is an arithmetic number, because the mean of its divisors is an integer number (258746460).

Almost surely, 2^14005430400 is an apocalyptic number.

14005430400 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 14005430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24839660160).

14005430400 is an abundant number, since it is smaller than the sum of its proper divisors (35673889920).

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

14005430400 is a wasteful number, since it uses less digits than its factorization.

14005430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112263 (or 112246 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 14005430400 its reverse (403450041), we get a palindrome (14408880441).

The spelling of 14005430400 in words is "fourteen billion, five million, four hundred thirty thousand, four hundred".