4082611803336 has 240 divisors, whose sum is σ = 12601557668700. Its totient is φ = 1233965525760.

The previous prime is 4082611803329. The next prime is 4082611803367. The reversal of 4082611803336 is 6333081162804.

4082611803336 is a `hidden beast` number, since 4 + 0 + 82 + 61 + 180 + 3 + 336 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4034915864100 + 47695939236 = 2008710^2 + 218394^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4082611803291 and 4082611803300.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 30433786 + ... + 30567638.

Almost surely, 2^{4082611803336} 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 4082611803336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6300778834350).

4082611803336 is an abundant number, since it is smaller than the sum of its proper divisors (8518945865364).

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

4082611803336 is a wasteful number, since it uses less digits than its factorization.

4082611803336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134282 (or 134258 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 4082611803336 in words is "four trillion, eighty-two billion, six hundred eleven million, eight hundred three thousand, three hundred thirty-six".