14094438400 has 351 divisors, whose sum is σ = 41437621911. Its totient is φ = 4741201920.

The previous prime is 14094438389. The next prime is 14094438409. The reversal of 14094438400 is 483449041.

It is a happy number.

The square root of 14094438400 is 118720.

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

It can be written as a sum of positive squares in 4 ways, for example, as 106172416 + 13988265984 = 10304^2 + 118272^2 .

It is a super-2 number, since 2×14094438400² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14094438400.

It is not an unprimeable number, because it can be changed into a prime (14094438409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 265932774 + ... + 265932826.

Almost surely, 2^14094438400 is an apocalyptic number.

14094438400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14094438400 is the 118720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14094438400

14094438400 is an abundant number, since it is smaller than the sum of its proper divisors (27343183511).

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

14094438400 is an frugal number, since it uses more digits than its factorization.

14094438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The spelling of 14094438400 in words is "fourteen billion, ninety-four million, four hundred thirty-eight thousand, four hundred".