4182605361 has 48 divisors (see below), whose sum is σ = 6990302592. Its totient is φ = 2384870400.

The previous prime is 4182605351. The next prime is 4182605389. The reversal of 4182605361 is 1635062814.

It is a happy number.

4182605361 is a `hidden beast` number, since 4 + 18 + 2 + 605 + 36 + 1 = 666.

It is not a de Polignac number, because 4182605361 - 2⁹ = 4182604849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4182605351) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 123841 + ... + 153953.

It is an arithmetic number, because the mean of its divisors is an integer number (145631304).

Almost surely, 2^4182605361 is an apocalyptic number.

It is an amenable number.

4182605361 is a deficient number, since it is larger than the sum of its proper divisors (2807697231).

4182605361 is a wasteful number, since it uses less digits than its factorization.

4182605361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30214 (or 30211 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4182605361 is about 64673.0651894589. The cubic root of 4182605361 is about 1611.1981823148.

The spelling of 4182605361 in words is "four billion, one hundred eighty-two million, six hundred five thousand, three hundred sixty-one".