11343011442400 has 576 divisors, whose sum is σ = 33165757255680. Its totient is φ = 3739476787200.

The previous prime is 11343011442391. The next prime is 11343011442401. The reversal of 11343011442400 is 424411034311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11343011442401) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2008676377 + ... + 2008682023.

It is an arithmetic number, because the mean of its divisors is an integer number (57579439680).

Almost surely, 2^{11343011442400} is an apocalyptic number.

11343011442400 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 11343011442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16582878627840).

11343011442400 is an abundant number, since it is smaller than the sum of its proper divisors (21822745813280).

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

11343011442400 is a wasteful number, since it uses less digits than its factorization.

11343011442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6187 (or 6174 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 11343011442400 its reverse (424411034311), we get a palindrome (11767422476711).

The spelling of 11343011442400 in words is "eleven trillion, three hundred forty-three billion, eleven million, four hundred forty-two thousand, four hundred".