4061653417584 has 120 divisors (see below), whose sum is σ = 12996506845920. Its totient is φ = 1159966531584.

The previous prime is 4061653417583. The next prime is 4061653417609. The reversal of 4061653417584 is 4857143561604.

4061653417584 is a `hidden beast` number, since 4 + 0 + 6 + 1 + 6 + 53 + 4 + 1 + 7 + 584 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4061653417584.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4061653417583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1438272 + ... + 3192480.

It is an arithmetic number, because the mean of its divisors is an integer number (108304223716).

Almost surely, 2^{4061653417584} 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 4061653417584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6498253422960).

4061653417584 is an abundant number, since it is smaller than the sum of its proper divisors (8934853428336).

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

4061653417584 is a wasteful number, since it uses less digits than its factorization.

4061653417584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756527 (or 1756518 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 4061653417584 in words is "four trillion, sixty-one billion, six hundred fifty-three million, four hundred seventeen thousand, five hundred eighty-four".