11441088000 has 400 divisors, whose sum is σ = 42636806784. Its totient is φ = 3049574400.

The previous prime is 11441087993. The next prime is 11441088031. The reversal of 11441088000 is 88014411.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5182897 + ... + 5185103.

Almost surely, 2^11441088000 is an apocalyptic number.

11441088000 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 11441088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21318403392).

11441088000 is an abundant number, since it is smaller than the sum of its proper divisors (31195718784).

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

11441088000 is an frugal number, since it uses more digits than its factorization.

11441088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The spelling of 11441088000 in words is "eleven billion, four hundred forty-one million, eighty-eight thousand".