11413326643200 has 1620 divisors, whose sum is σ = 44143490594112. Its totient is φ = 2923875532800.

The previous prime is 11413326643189. The next prime is 11413326643217. The reversal of 11413326643200 is 234662331411.

11413326643200 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 3 + 3 + 2 + 6 + 643 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent 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 107 ways as a sum of consecutive naturals, for example, 83308953532 + ... + 83308953668.

Almost surely, 2^{11413326643200} is an apocalyptic number.

11413326643200 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 11413326643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22071745297056).

11413326643200 is an abundant number, since it is smaller than the sum of its proper divisors (32730163950912).

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

11413326643200 is an frugal number, since it uses more digits than its factorization.

11413326643200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 11413326643200 its reverse (234662331411), we get a palindrome (11647988974611).

The spelling of 11413326643200 in words is "eleven trillion, four hundred thirteen billion, three hundred twenty-six million, six hundred forty-three thousand, two hundred".