14428814400 has 1701 divisors, whose sum is σ = 71004578463. Its totient is φ = 2767564800.

The previous prime is 14428814383. The next prime is 14428814417. The reversal of 14428814400 is 441882441.

The square root of 14428814400 is 120120.

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

It is an interprime number because it is at equal distance from previous prime (14428814383) and next prime (14428814417).

It can be written as a sum of positive squares in 4 ways, for example, as 3719048256 + 10709766144 = 60984^2 + 103488^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 242 ways as a sum of consecutive naturals, for example, 1109908794 + ... + 1109908806.

Almost surely, 2^14428814400 is an apocalyptic number.

14428814400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14428814400 is the 120120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14428814400

14428814400 is an abundant number, since it is smaller than the sum of its proper divisors (56575764063).

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

14428814400 is a wasteful number, since it uses less digits than its factorization.

14428814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

Multiplying 14428814400 by its sum of digits (36), we get a square (519437318400 = 720720²).

14428814400 divided by its sum of digits (36) gives a square (400800400 = 20020²).

It can be divided in two parts, 14428 and 814400, that added together give a palindrome (828828).

The spelling of 14428814400 in words is "fourteen billion, four hundred twenty-eight million, eight hundred fourteen thousand, four hundred".