42585144 has 128 divisors (see below), whose sum is σ = 129392640. Its totient is φ = 11417472.

The previous prime is 42585143. The next prime is 42585163. The reversal of 42585144 is 44158524.

It is a happy number.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42585143) 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 31 ways as a sum of consecutive naturals, for example, 397939 + ... + 398045.

It is an arithmetic number, because the mean of its divisors is an integer number (1010880).

Almost surely, 2^42585144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42585144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64696320).

42585144 is an abundant number, since it is smaller than the sum of its proper divisors (86807496).

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

42585144 is a wasteful number, since it uses less digits than its factorization.

42585144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 245 counting only the distinct ones).

The product of its digits is 25600, while the sum is 33.

The square root of 42585144 is about 6525.7293845209. The cubic root of 42585144 is about 349.2094920983.

The spelling of 42585144 in words is "forty-two million, five hundred eighty-five thousand, one hundred forty-four".