42058170 has 288 divisors, whose sum is σ = 151191360. Its totient is φ = 8225280.

The previous prime is 42058141. The next prime is 42058189. The reversal of 42058170 is 7185024.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 2474002 + ... + 2474018.

It is an arithmetic number, because the mean of its divisors is an integer number (524970).

Almost surely, 2^42058170 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42058170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75595680).

42058170 is an abundant number, since it is smaller than the sum of its proper divisors (109133190).

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

42058170 is a wasteful number, since it uses less digits than its factorization.

42058170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 42058170 is about 6485.2270584768. The cubic root of 42058170 is about 347.7630670224.

The spelling of 42058170 in words is "forty-two million, fifty-eight thousand, one hundred seventy".