11330442000 has 200 divisors, whose sum is σ = 40926980952. Its totient is φ = 3021408000.

The previous prime is 11330441977. The next prime is 11330442001. The reversal of 11330442000 is 24403311.

It can be written as a sum of positive squares in 4 ways, for example, as 2070614016 + 9259827984 = 45504^2 + 96228^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11330442001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 127030 + ... + 196970.

Almost surely, 2^11330442000 is an apocalyptic number.

11330442000 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 11330442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20463490476).

11330442000 is an abundant number, since it is smaller than the sum of its proper divisors (29596538952).

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

11330442000 is an equidigital number, since it uses as much as digits as its factorization.

11330442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69976 (or 69951 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 11330442000 its reverse (24403311), we get a palindrome (11354845311).

The spelling of 11330442000 in words is "eleven billion, three hundred thirty million, four hundred forty-two thousand".