11441024320 has 336 divisors, whose sum is σ = 32398289280. Its totient is φ = 3833589760.

The previous prime is 11441024263. The next prime is 11441024321. The reversal of 11441024320 is 2342014411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 11441024291 and 11441024300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11441024321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25826019 + ... + 25826461.

It is an arithmetic number, because the mean of its divisors is an integer number (96423480).

Almost surely, 2^11441024320 is an apocalyptic number.

11441024320 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 11441024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16199144640).

11441024320 is an abundant number, since it is smaller than the sum of its proper divisors (20957264960).

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

11441024320 is a wasteful number, since it uses less digits than its factorization.

11441024320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 11441024320 its reverse (2342014411), we get a palindrome (13783038731).

Subtracting from 11441024320 its reverse (2342014411), we obtain a palindrome (9099009909).

The spelling of 11441024320 in words is "eleven billion, four hundred forty-one million, twenty-four thousand, three hundred twenty".