42085407 has 16 divisors (see below), whose sum is σ = 69063680. Its totient is φ = 22198752.

The previous prime is 42085403. The next prime is 42085411. The reversal of 42085407 is 70458024.

It is an interprime number because it is at equal distance from previous prime (42085403) and next prime (42085411).

It is not a de Polignac number, because 42085407 - 2² = 42085403 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42085403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76807 + ... + 77352.

It is an arithmetic number, because the mean of its divisors is an integer number (4316480).

Almost surely, 2^42085407 is an apocalyptic number.

42085407 is a deficient number, since it is larger than the sum of its proper divisors (26978273).

42085407 is a wasteful number, since it uses less digits than its factorization.

42085407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154182.

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 42085407 is about 6487.3266450827. The cubic root of 42085407 is about 347.8381216327.

The spelling of 42085407 in words is "forty-two million, eighty-five thousand, four hundred seven".