11144434030200 has 72 divisors (see below), whose sum is σ = 37426724290800. Its totient is φ = 2971849074240.

The previous prime is 11144434030199. The next prime is 11144434030231. The reversal of 11144434030200 is 203043444111.

11144434030200 is a `hidden beast` number, since 1 + 1 + 14 + 4 + 4 + 340 + 302 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3095674320 + ... + 3095677919.

It is an arithmetic number, because the mean of its divisors is an integer number (519815615150).

Almost surely, 2^{11144434030200} is an apocalyptic number.

11144434030200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11144434030200 is an abundant number, since it is smaller than the sum of its proper divisors (26282290260600).

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

11144434030200 is a wasteful number, since it uses less digits than its factorization.

11144434030200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6191352261 (or 6191352249 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 11144434030200 its reverse (203043444111), we get a palindrome (11347477474311).

The spelling of 11144434030200 in words is "eleven trillion, one hundred forty-four billion, four hundred thirty-four million, thirty thousand, two hundred".