16041589344 has 288 divisors, whose sum is σ = 54080732160. Its totient is φ = 4456166400.

The previous prime is 16041589339. The next prime is 16041589367. The reversal of 16041589344 is 44398514061.

16041589344 is a `hidden beast` number, since 1 + 60 + 4 + 1 + 589 + 3 + 4 + 4 = 666.

16041589344 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 (288).

It is a self number, because there is not a number n which added to its sum of digits gives 16041589344.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1861654 + ... + 1870250.

It is an arithmetic number, because the mean of its divisors is an integer number (187780320).

Almost surely, 2^16041589344 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 16041589344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27040366080).

16041589344 is an abundant number, since it is smaller than the sum of its proper divisors (38039142816).

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

16041589344 is a wasteful number, since it uses less digits than its factorization.

16041589344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8674 (or 8663 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 16041589344 in words is "sixteen billion, forty-one million, five hundred eighty-nine thousand, three hundred forty-four".