11441663040 has 112 divisors (see below), whose sum is σ = 36363054528. Its totient is φ = 3048105984.

The previous prime is 11441663039. The next prime is 11441663047. The reversal of 11441663040 is 4036614411.

11441663040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11441662989 and 11441663007.

It is not an unprimeable number, because it can be changed into a prime (11441663047) 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, 1072774 + ... + 1083386.

Almost surely, 2^11441663040 is an apocalyptic number.

11441663040 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 11441663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18181527264).

11441663040 is an abundant number, since it is smaller than the sum of its proper divisors (24921391488).

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

11441663040 is a wasteful number, since it uses less digits than its factorization.

11441663040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11756 (or 11746 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 11441663040 in words is "eleven billion, four hundred forty-one million, six hundred sixty-three thousand, forty".