11441144000 has 448 divisors, whose sum is σ = 33989784192. Its totient is φ = 3760128000.

The previous prime is 11441143993. The next prime is 11441144023. The reversal of 11441144000 is 44114411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83511932 + ... + 83512068.

It is an arithmetic number, because the mean of its divisors is an integer number (75870054).

Almost surely, 2^11441144000 is an apocalyptic number.

11441144000 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 11441144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16994892096).

11441144000 is an abundant number, since it is smaller than the sum of its proper divisors (22548640192).

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

11441144000 is a wasteful number, since it uses less digits than its factorization.

11441144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 11441144000 its reverse (44114411), we get a palindrome (11485258411).

It can be divided in two parts, 114 and 41144000, that added together give a palindrome (41144114).

The spelling of 11441144000 in words is "eleven billion, four hundred forty-one million, one hundred forty-four thousand".