11640442016 has 96 divisors (see below), whose sum is σ = 26555050368. Its totient is φ = 4919915520.

The previous prime is 11640441997. The next prime is 11640442039. The reversal of 11640442016 is 61024404611.

It is a self number, because there is not a number n which added to its sum of digits gives 11640442016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5075366 + ... + 5077658.

It is an arithmetic number, because the mean of its divisors is an integer number (276615108).

Almost surely, 2^11640442016 is an apocalyptic number.

11640442016 is a gapful number since it is divisible by the number (16) 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 11640442016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13277525184).

11640442016 is an abundant number, since it is smaller than the sum of its proper divisors (14914608352).

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

11640442016 is a wasteful number, since it uses less digits than its factorization.

11640442016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2614 (or 2606 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 11640442016 its reverse (61024404611), we get a palindrome (72664846627).

The spelling of 11640442016 in words is "eleven billion, six hundred forty million, four hundred forty-two thousand, sixteen".