14320454400 has 432 divisors, whose sum is σ = 60018380800. Its totient is φ = 3272970240.

The previous prime is 14320454381. The next prime is 14320454471. The reversal of 14320454400 is 445402341.

It is a happy number.

14320454400 is a `hidden beast` number, since 1 + 4 + 3 + 204 + 54 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 1203681 + ... + 1215519.

Almost surely, 2^14320454400 is an apocalyptic number.

14320454400 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 14320454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30009190400).

14320454400 is an abundant number, since it is smaller than the sum of its proper divisors (45697926400).

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

14320454400 is a wasteful number, since it uses less digits than its factorization.

14320454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11881 (or 11856 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 14320454400 its reverse (445402341), we get a palindrome (14765856741).

The spelling of 14320454400 in words is "fourteen billion, three hundred twenty million, four hundred fifty-four thousand, four hundred".