14132454400 has 99 divisors (see below), whose sum is σ = 35078585401. Its totient is φ = 5645373440.

The previous prime is 14132454389. The next prime is 14132454409. The reversal of 14132454400 is 445423141.

The square root of 14132454400 is 118880.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5087683584 + 9044770816 = 71328^2 + 95104^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14132454409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19020429 + ... + 19021171.

Almost surely, 2^14132454400 is an apocalyptic number.

14132454400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14132454400 is the 118880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14132454400

14132454400 is an abundant number, since it is smaller than the sum of its proper divisors (20946131001).

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

14132454400 is an frugal number, since it uses more digits than its factorization.

14132454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 14132454400 its reverse (445423141), we get a palindrome (14577877541).

The spelling of 14132454400 in words is "fourteen billion, one hundred thirty-two million, four hundred fifty-four thousand, four hundred".