13442514045200 has 120 divisors (see below), whose sum is σ = 33739984252800. Its totient is φ = 5137089633280.

The previous prime is 13442514045187. The next prime is 13442514045221. The reversal of 13442514045200 is 254041524431.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 6848036 + ... + 8589564.

It is an arithmetic number, because the mean of its divisors is an integer number (281166535440).

Almost surely, 2^{13442514045200} is an apocalyptic number.

13442514045200 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 13442514045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16869992126400).

13442514045200 is an abundant number, since it is smaller than the sum of its proper divisors (20297470207600).

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

13442514045200 is a wasteful number, since it uses less digits than its factorization.

13442514045200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742409 (or 1742398 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 13442514045200 its reverse (254041524431), we get a palindrome (13696555569631).

The spelling of 13442514045200 in words is "thirteen trillion, four hundred forty-two billion, five hundred fourteen million, forty-five thousand, two hundred".