42006624642 has 48 divisors (see below), whose sum is σ = 95123541240. Its totient is φ = 13379982336.

The previous prime is 42006624629. The next prime is 42006624643. The reversal of 42006624642 is 24642660024.

42006624642 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 6 + 6 + 2 + 4 + 642 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30467353401 + 11539271241 = 174549^2 + 107421^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42006624597 and 42006624606.

It is not an unprimeable number, because it can be changed into a prime (42006624643) 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 23 ways as a sum of consecutive naturals, for example, 364173 + ... + 465440.

Almost surely, 2^42006624642 is an apocalyptic number.

42006624642 is an abundant number, since it is smaller than the sum of its proper divisors (53116916598).

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

42006624642 is a wasteful number, since it uses less digits than its factorization.

42006624642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829747 (or 829744 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 42006624642 in words is "forty-two billion, six million, six hundred twenty-four thousand, six hundred forty-two".