42564144 has 60 divisors (see below), whose sum is σ = 127916664. Its totient is φ = 12160512.

The previous prime is 42564131. The next prime is 42564157. The reversal of 42564144 is 44146524.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42564131) and next prime (42564157).

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 11 ways as a sum of consecutive naturals, for example, 6697 + ... + 11400.

Almost surely, 2^42564144 is an apocalyptic number.

It is an amenable number.

42564144 is an abundant number, since it is smaller than the sum of its proper divisors (85352520).

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

42564144 is a wasteful number, since it uses less digits than its factorization.

42564144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18122 (or 18109 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

The square root of 42564144 is about 6524.1201705671. The cubic root of 42564144 is about 349.1520808008.

It can be divided in two parts, 42564 and 144, that multiplied together give a palindrome (6129216).

The spelling of 42564144 in words is "forty-two million, five hundred sixty-four thousand, one hundred forty-four".