4188581334 has 128 divisors (see below), whose sum is σ = 10795975680. Its totient is φ = 1179090432.

The previous prime is 4188581323. The next prime is 4188581339. The reversal of 4188581334 is 4331858814.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4188581334.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4188581339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9673182 + ... + 9673614.

It is an arithmetic number, because the mean of its divisors is an integer number (84343560).

Almost surely, 2^4188581334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4188581334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5397987840).

4188581334 is an abundant number, since it is smaller than the sum of its proper divisors (6607394346).

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

4188581334 is a wasteful number, since it uses less digits than its factorization.

4188581334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 765 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 4188581334 is about 64719.2501038138. The cubic root of 4188581334 is about 1611.9651599934.

The spelling of 4188581334 in words is "four billion, one hundred eighty-eight million, five hundred eighty-one thousand, three hundred thirty-four".