14130332400 has 120 divisors (see below), whose sum is σ = 45479501824. Its totient is φ = 3750163200.

The previous prime is 14130332399. The next prime is 14130332407. The reversal of 14130332400 is 423303141.

14130332400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14130332407) 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 23 ways as a sum of consecutive naturals, for example, 225297 + ... + 281103.

Almost surely, 2^14130332400 is an apocalyptic number.

14130332400 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 14130332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22739750912).

14130332400 is an abundant number, since it is smaller than the sum of its proper divisors (31349169424).

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

14130332400 is a wasteful number, since it uses less digits than its factorization.

14130332400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56039 (or 56028 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 14130332400 its reverse (423303141), we get a palindrome (14553635541).

The spelling of 14130332400 in words is "fourteen billion, one hundred thirty million, three hundred thirty-two thousand, four hundred".