11442221228880 has 1120 divisors, whose sum is σ = 45050918119200. Its totient is φ = 2681795837952.

The previous prime is 11442221228849. The next prime is 11442221228927. The reversal of 11442221228880 is 8882212224411.

11442221228880 is a `hidden beast` number, since 1 + 1 + 4 + 422 + 212 + 2 + 8 + 8 + 8 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 3081541506624 + 8360679722256 = 1755432^2 + 2891484^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1605021156 + ... + 1605028284.

It is an arithmetic number, because the mean of its divisors is an integer number (40224034035).

Almost surely, 2^{11442221228880} is an apocalyptic number.

11442221228880 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 11442221228880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22525459059600).

11442221228880 is an abundant number, since it is smaller than the sum of its proper divisors (33608696890320).

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

11442221228880 is a wasteful number, since it uses less digits than its factorization.

11442221228880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7275 (or 7254 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 45.

The spelling of 11442221228880 in words is "eleven trillion, four hundred forty-two billion, two hundred twenty-one million, two hundred twenty-eight thousand, eight hundred eighty".