11042221344000 has 1728 divisors, whose sum is σ = 49285165692672. Its totient is φ = 2159345664000.

The previous prime is 11042221343969. The next prime is 11042221344079. The reversal of 11042221344000 is 44312224011.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 879641724 + ... + 879654276.

It is an arithmetic number, because the mean of its divisors is an integer number (28521507924).

Almost surely, 2^{11042221344000} is an apocalyptic number.

11042221344000 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 11042221344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24642582846336).

11042221344000 is an abundant number, since it is smaller than the sum of its proper divisors (38242944348672).

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

11042221344000 is a wasteful number, since it uses less digits than its factorization.

11042221344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12629 (or 12598 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 11042221344000 its reverse (44312224011), we get a palindrome (11086533568011).

The spelling of 11042221344000 in words is "eleven trillion, forty-two billion, two hundred twenty-one million, three hundred forty-four thousand".