11442424200 has 96 divisors (see below), whose sum is σ = 35552412000. Its totient is φ = 3044354560.

The previous prime is 11442424177. The next prime is 11442424211. The reversal of 11442424200 is 242424411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244276 + ... + 287324.

It is an arithmetic number, because the mean of its divisors is an integer number (370337625).

Almost surely, 2^11442424200 is an apocalyptic number.

11442424200 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 11442424200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17776206000).

11442424200 is an abundant number, since it is smaller than the sum of its proper divisors (24109987800).

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

11442424200 is a wasteful number, since it uses less digits than its factorization.

11442424200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43511 (or 43502 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 11442424200 its reverse (242424411), we get a palindrome (11684848611).

The spelling of 11442424200 in words is "eleven billion, four hundred forty-two million, four hundred twenty-four thousand, two hundred".