11220041140 has 192 divisors, whose sum is σ = 31865799168. Its totient is φ = 3210854400.

The previous prime is 11220041093. The next prime is 11220041143. The reversal of 11220041140 is 4114002211.

It is a happy number.

11220041140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

11220041140 is a modest number, since divided by 41140 gives 11220 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11220041143) 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 63 ways as a sum of consecutive naturals, for example, 1068154 + ... + 1078606.

It is an arithmetic number, because the mean of its divisors is an integer number (165967704).

Almost surely, 2^11220041140 is an apocalyptic number.

11220041140 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 11220041140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15932899584).

11220041140 is an abundant number, since it is smaller than the sum of its proper divisors (20645758028).

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

11220041140 is a wasteful number, since it uses less digits than its factorization.

11220041140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10538 (or 10536 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11220041140 its reverse (4114002211), we get a palindrome (15334043351).

The spelling of 11220041140 in words is "eleven billion, two hundred twenty million, forty-one thousand, one hundred forty".