4082406642 has 20 divisors (see below), whose sum is σ = 9147615246. Its totient is φ = 1360802160.

The previous prime is 4082406637. The next prime is 4082406649. The reversal of 4082406642 is 2466042804.

It is a happy number.

4082406642 is a `hidden beast` number, since 4 + 0 + 8 + 2 + 4 + 0 + 6 + 642 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2557426041 + 1524980601 = 50571^2 + 39051^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4082406597 and 4082406606.

It is not an unprimeable number, because it can be changed into a prime (4082406649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 12599859 + ... + 12600182.

Almost surely, 2^4082406642 is an apocalyptic number.

4082406642 is an abundant number, since it is smaller than the sum of its proper divisors (5065208604).

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

4082406642 is a wasteful number, since it uses less digits than its factorization.

4082406642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25200055 (or 25200046 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 4082406642 is about 63893.7136344414. The cubic root of 4082406642 is about 1598.2280698996.

The spelling of 4082406642 in words is "four billion, eighty-two million, four hundred six thousand, six hundred forty-two".