4013299035684 has 81 divisors (see below), whose sum is σ = 10707372224913. Its totient is φ = 1267285470624.

The previous prime is 4013299035673. The next prime is 4013299035721. The reversal of 4013299035684 is 4865309923104.

The square root of 4013299035684 is 2003322.

It is a perfect power (a square), and thus also a powerful number.

4013299035684 is a `hidden beast` number, since 40 + 1 + 32 + 9 + 9 + 0 + 3 + 568 + 4 = 666.

4013299035684 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2802577328100 + 1210721707584 = 1674090^2 + 1100328^2 .

It is a super-2 number, since 2×4013299035684² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4013299035684.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 228369922 + ... + 228387494.

Almost surely, 2^{4013299035684} is an apocalyptic number.

4013299035684 is the 2003322-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4013299035684

4013299035684 is an abundant number, since it is smaller than the sum of its proper divisors (6694073189229).

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

4013299035684 is an equidigital number, since it uses as much as digits as its factorization.

4013299035684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35194 (or 17597 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 4013299035684 in words is "four trillion, thirteen billion, two hundred ninety-nine million, thirty-five thousand, six hundred eighty-four".