11042738784 has 648 divisors, whose sum is σ = 41723398080. Its totient is φ = 2756920320.

The previous prime is 11042738767. The next prime is 11042738789. The reversal of 11042738784 is 48783724011.

11042738784 is a `hidden beast` number, since 110 + 427 + 38 + 7 + 84 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11042738789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 49518897 + ... + 49519119.

It is an arithmetic number, because the mean of its divisors is an integer number (64387960).

Almost surely, 2^11042738784 is an apocalyptic number.

11042738784 is a gapful number since it is divisible by the number (14) 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 11042738784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20861699040).

11042738784 is an abundant number, since it is smaller than the sum of its proper divisors (30680659296).

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

11042738784 is a wasteful number, since it uses less digits than its factorization.

11042738784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 11042738784 in words is "eleven billion, forty-two million, seven hundred thirty-eight thousand, seven hundred eighty-four".