14287795206400 has 243 divisors, whose sum is σ = 36374640402009. Its totient is φ = 5556300963840.

The previous prime is 14287795206397. The next prime is 14287795206407. The reversal of 14287795206400 is 460259778241.

The square root of 14287795206400 is 3779920.

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

14287795206400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 1351285352704 + 12936509853696 = 1162448^2 + 3596736^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14287795206407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11188562562 + ... + 11188563838.

Almost surely, 2^{14287795206400} is an apocalyptic number.

14287795206400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14287795206400 is the 3779920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14287795206400

14287795206400 is an abundant number, since it is smaller than the sum of its proper divisors (22086845195609).

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

14287795206400 is an frugal number, since it uses more digits than its factorization.

14287795206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2654 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 55.

The spelling of 14287795206400 in words is "fourteen trillion, two hundred eighty-seven billion, seven hundred ninety-five million, two hundred six thousand, four hundred".