14222434400200 has 96 divisors (see below), whose sum is σ = 35640446443560. Its totient is φ = 5246986752000.

The previous prime is 14222434400191. The next prime is 14222434400231. The reversal of 14222434400200 is 200443422241.

It can be written as a sum of positive squares in 12 ways, for example, as 26765614404 + 14195668785796 = 163602^2 + 3767714^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 845262 + ... + 5399938.

Almost surely, 2^{14222434400200} is an apocalyptic number.

14222434400200 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 14222434400200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17820223221780).

14222434400200 is an abundant number, since it is smaller than the sum of its proper divisors (21418012043360).

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

14222434400200 is a wasteful number, since it uses less digits than its factorization.

14222434400200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4555907 (or 4555898 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 14222434400200 its reverse (200443422241), we get a palindrome (14422877822441).

The spelling of 14222434400200 in words is "fourteen trillion, two hundred twenty-two billion, four hundred thirty-four million, four hundred thousand, two hundred".