11414141205200 has 120 divisors (see below), whose sum is σ = 27643071206400. Its totient is φ = 4528940774400.

The previous prime is 11414141205199. The next prime is 11414141205209. The reversal of 11414141205200 is 250214141411.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11414141205200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11414141205209) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 372399476 + ... + 372430124.

It is an arithmetic number, because the mean of its divisors is an integer number (230358926720).

Almost surely, 2^{11414141205200} is an apocalyptic number.

11414141205200 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 11414141205200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13821535603200).

11414141205200 is an abundant number, since it is smaller than the sum of its proper divisors (16228930001200).

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

11414141205200 is a wasteful number, since it uses less digits than its factorization.

11414141205200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38125 (or 38114 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

Adding to 11414141205200 its reverse (250214141411), we get a palindrome (11664355346611).

The spelling of 11414141205200 in words is "eleven trillion, four hundred fourteen billion, one hundred forty-one million, two hundred five thousand, two hundred".