4164084288 has 630 divisors, whose sum is σ = 15708731346. Its totient is φ = 1086898176.

The previous prime is 4164084283. The next prime is 4164084311. The reversal of 4164084288 is 8824804614.

It can be written as a sum of positive squares in 3 ways, for example, as 2286144 + 4161798144 = 1512^2 + 64512^2 .

It is not an unprimeable number, because it can be changed into a prime (4164084283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 42928656 + ... + 42928752.

Almost surely, 2^4164084288 is an apocalyptic number.

4164084288 is a gapful number since it is divisible by the number (48) 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 4164084288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7854365673).

4164084288 is an abundant number, since it is smaller than the sum of its proper divisors (11544647058).

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

4164084288 is a wasteful number, since it uses less digits than its factorization.

4164084288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 4164084288 is about 64529.7163173681. The cubic root of 4164084288 is about 1608.8164710827.

The spelling of 4164084288 in words is "four billion, one hundred sixty-four million, eighty-four thousand, two hundred eighty-eight".