11441227600 has 180 divisors, whose sum is σ = 30537593212. Its totient is φ = 4115865600.

The previous prime is 11441227583. The next prime is 11441227601. The reversal of 11441227600 is 672214411.

11441227600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 121969936 + 11319257664 = 11044^2 + 106392^2 .

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11441227601) 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 35 ways as a sum of consecutive naturals, for example, 4693582 + ... + 4696018.

Almost surely, 2^11441227600 is an apocalyptic number.

11441227600 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 11441227600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15268796606).

11441227600 is an abundant number, since it is smaller than the sum of its proper divisors (19096365612).

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

11441227600 is a wasteful number, since it uses less digits than its factorization.

11441227600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574 (or 2552 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The spelling of 11441227600 in words is "eleven billion, four hundred forty-one million, two hundred twenty-seven thousand, six hundred".