11440424000 has 112 divisors (see below), whose sum is σ = 28386237360. Its totient is φ = 4567449600.

The previous prime is 11440423979. The next prime is 11440424029. The reversal of 11440424000 is 42404411.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3865854976 + 7574569024 = 62176^2 + 87032^2 .

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

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 15 ways as a sum of consecutive naturals, for example, 5670992 + ... + 5673008.

Almost surely, 2^11440424000 is an apocalyptic number.

11440424000 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 11440424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14193118680).

11440424000 is an abundant number, since it is smaller than the sum of its proper divisors (16945813360).

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

11440424000 is an equidigital number, since it uses as much as digits as its factorization.

11440424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2753 (or 2733 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 11440424000 its reverse (42404411), we get a palindrome (11482828411).

The spelling of 11440424000 in words is "eleven billion, four hundred forty million, four hundred twenty-four thousand".