13442443021200 has 240 divisors, whose sum is σ = 45780621102720. Its totient is φ = 3364102410240.

The previous prime is 13442443021141. The next prime is 13442443021211. The reversal of 13442443021200 is 212034424431.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3131965 + ... + 6057564.

It is an arithmetic number, because the mean of its divisors is an integer number (190752587928).

Almost surely, 2^{13442443021200} is an apocalyptic number.

13442443021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13442443021200 is an abundant number, since it is smaller than the sum of its proper divisors (32338178081520).

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

13442443021200 is a wasteful number, since it uses less digits than its factorization.

13442443021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9189626 (or 9189615 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 13442443021200 its reverse (212034424431), we get a palindrome (13654477445631).

The spelling of 13442443021200 in words is "thirteen trillion, four hundred forty-two billion, four hundred forty-three million, twenty-one thousand, two hundred".