4161016288 has 192 divisors, whose sum is σ = 10321940160. Its totient is φ = 1622016000.

The previous prime is 4161016259. The next prime is 4161016297. The reversal of 4161016288 is 8826101614.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6923188 + ... + 6923788.

It is an arithmetic number, because the mean of its divisors is an integer number (53760105).

Almost surely, 2^4161016288 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 4161016288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5160970080).

4161016288 is an abundant number, since it is smaller than the sum of its proper divisors (6160923872).

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

4161016288 is a wasteful number, since it uses less digits than its factorization.

4161016288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 4161016288 is about 64505.9399435432. The cubic root of 4161016288 is about 1608.4212612123.

The spelling of 4161016288 in words is "four billion, one hundred sixty-one million, sixteen thousand, two hundred eighty-eight".