14424102400 has 120 divisors (see below), whose sum is σ = 35804230704. Its totient is φ = 5758771200.

The previous prime is 14424102397. The next prime is 14424102409. The reversal of 14424102400 is 420142441.

14424102400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14424102409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13196254 + ... + 13197346.

Almost surely, 2^14424102400 is an apocalyptic number.

14424102400 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 14424102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17902115352).

14424102400 is an abundant number, since it is smaller than the sum of its proper divisors (21380128304).

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

14424102400 is a wasteful number, since it uses less digits than its factorization.

14424102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152 (or 2131 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 14424102400 its reverse (420142441), we get a palindrome (14844244841).

The spelling of 14424102400 in words is "fourteen billion, four hundred twenty-four million, one hundred two thousand, four hundred".