11220320524440 has 128 divisors (see below), whose sum is σ = 33911790635520. Its totient is φ = 2969822208000.

The previous prime is 11220320524393. The next prime is 11220320524447. The reversal of 11220320524440 is 4442502302211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11220320524398 and 11220320524407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11220320524447) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 21797635 + ... + 22306445.

It is an arithmetic number, because the mean of its divisors is an integer number (264935864340).

Almost surely, 2^{11220320524440} is an apocalyptic number.

11220320524440 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 11220320524440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16955895317760).

11220320524440 is an abundant number, since it is smaller than the sum of its proper divisors (22691470111080).

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

11220320524440 is a wasteful number, since it uses less digits than its factorization.

11220320524440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510193 (or 510189 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 11220320524440 its reverse (4442502302211), we get a palindrome (15662822826651).

The spelling of 11220320524440 in words is "eleven trillion, two hundred twenty billion, three hundred twenty million, five hundred twenty-four thousand, four hundred forty".