14442410340200 has 72 divisors (see below), whose sum is σ = 34510662367650. Its totient is φ = 5620829863680.

The previous prime is 14442410340139. The next prime is 14442410340287. The reversal of 14442410340200 is 204301424441.

It can be written as a sum of positive squares in 9 ways, for example, as 5976626541796 + 8465783798404 = 2444714^2 + 2909602^2 .

It is a super-3 number, since 3×14442410340200³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26100215 + ... + 26647814.

Almost surely, 2^{14442410340200} is an apocalyptic number.

14442410340200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14442410340200 is an abundant number, since it is smaller than the sum of its proper divisors (20068252027450).

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

14442410340200 is a wasteful number, since it uses less digits than its factorization.

14442410340200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52748119 (or 52748073 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 14442410340200 its reverse (204301424441), we get a palindrome (14646711764641).

The spelling of 14442410340200 in words is "fourteen trillion, four hundred forty-two billion, four hundred ten million, three hundred forty thousand, two hundred".