4141084864 has 84 divisors (see below), whose sum is σ = 9974878704. Its totient is φ = 1697558016.

The previous prime is 4141084837. The next prime is 4141084867. The reversal of 4141084864 is 4684801414.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4141084867) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 43422 + ... + 100834.

It is an arithmetic number, because the mean of its divisors is an integer number (118748556).

Almost surely, 2^4141084864 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 4141084864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4987439352).

4141084864 is an abundant number, since it is smaller than the sum of its proper divisors (5833793840).

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

4141084864 is a wasteful number, since it uses less digits than its factorization.

4141084864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57462 (or 57445 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 4141084864 is about 64351.2615571754. The cubic root of 4141084864 is about 1605.8490170698.

The spelling of 4141084864 in words is "four billion, one hundred forty-one million, eighty-four thousand, eight hundred sixty-four".