11404114432 has 40 divisors (see below), whose sum is σ = 22824484452. Its totient is φ = 5692416000.

The previous prime is 11404114411. The next prime is 11404114439. The reversal of 11404114432 is 23441140411.

11404114432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9522637056 + 1881477376 = 97584^2 + 43376^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11404114397 and 11404114406.

It is not an unprimeable number, because it can be changed into a prime (11404114439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 289182 + ... + 326242.

Almost surely, 2^11404114432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11404114432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11412242226).

11404114432 is an abundant number, since it is smaller than the sum of its proper divisors (11420370020).

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

11404114432 is an frugal number, since it uses more digits than its factorization.

11404114432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37680 (or 37664 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 11404114432 its reverse (23441140411), we get a palindrome (34845254843).

The spelling of 11404114432 in words is "eleven billion, four hundred four million, one hundred fourteen thousand, four hundred thirty-two".