11000440032 has 96 divisors (see below), whose sum is σ = 30421036800. Its totient is φ = 3470957568.

The previous prime is 11000440027. The next prime is 11000440039. The reversal of 11000440032 is 23004400011.

11000440032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11000440032² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11000439993 and 11000440020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000440039) 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 15 ways as a sum of consecutive naturals, for example, 3808893 + ... + 3811779.

It is an arithmetic number, because the mean of its divisors is an integer number (316885800).

Almost surely, 2^11000440032 is an apocalyptic number.

11000440032 is a gapful number since it is divisible by the number (12) 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 11000440032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15210518400).

11000440032 is an abundant number, since it is smaller than the sum of its proper divisors (19420596768).

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

11000440032 is a wasteful number, since it uses less digits than its factorization.

11000440032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5008 (or 5000 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 11000440032 its reverse (23004400011), we get a palindrome (34004840043).

The spelling of 11000440032 in words is "eleven billion, four hundred forty thousand, thirty-two".