4101656636 has 96 divisors (see below), whose sum is σ = 9175541760. Its totient is φ = 1558065600.

The previous prime is 4101656633. The next prime is 4101656659. The reversal of 4101656636 is 6366561014.

4101656636 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4101656636.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4101656633) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2379671 + ... + 2381393.

It is an arithmetic number, because the mean of its divisors is an integer number (95578560).

Almost surely, 2^4101656636 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 4101656636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4587770880).

4101656636 is an abundant number, since it is smaller than the sum of its proper divisors (5073885124).

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

4101656636 is a wasteful number, since it uses less digits than its factorization.

4101656636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1935 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The square root of 4101656636 is about 64044.1772216647. The cubic root of 4101656636 is about 1600.7362023477.

The spelling of 4101656636 in words is "four billion, one hundred one million, six hundred fifty-six thousand, six hundred thirty-six".