11441000000 has 196 divisors, whose sum is σ = 30092661684. Its totient is φ = 4300800000.

The previous prime is 11440999993. The next prime is 11441000003. The reversal of 11441000000 is 14411.

It can be written as a sum of positive squares in 14 ways, for example, as 9974416384 + 1466583616 = 99872^2 + 38296^2 .

It is not an unprimeable number, because it can be changed into a prime (11441000003) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 16999664 + ... + 17000336.

Almost surely, 2^11441000000 is an apocalyptic number.

11441000000 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 11441000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15046330842).

11441000000 is an abundant number, since it is smaller than the sum of its proper divisors (18651661684).

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

11441000000 is an frugal number, since it uses more digits than its factorization.

11441000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 11441000000 its reverse (14411), we get a palindrome (11441014411).

The spelling of 11441000000 in words is "eleven billion, four hundred forty-one million", and thus it is an aban number.