11441034000 has 960 divisors, whose sum is σ = 48161917440. Its totient is φ = 2585088000.

The previous prime is 11441033999. The next prime is 11441034013. The reversal of 11441034000 is 43014411.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 111077949 + ... + 111078051.

It is an arithmetic number, because the mean of its divisors is an integer number (50168664).

Almost surely, 2^11441034000 is an apocalyptic number.

11441034000 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 11441034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24080958720).

11441034000 is an abundant number, since it is smaller than the sum of its proper divisors (36720883440).

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

11441034000 is a wasteful number, since it uses less digits than its factorization.

11441034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11441034000 its reverse (43014411), we get a palindrome (11484048411).

The spelling of 11441034000 in words is "eleven billion, four hundred forty-one million, thirty-four thousand".