42918144 has 144 divisors (see below), whose sum is σ = 123621120. Its totient is φ = 13189120.

The previous prime is 42918137. The next prime is 42918157. The reversal of 42918144 is 44181924.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 913129 + ... + 913175.

It is an arithmetic number, because the mean of its divisors is an integer number (858480).

Almost surely, 2^42918144 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 42918144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61810560).

42918144 is an abundant number, since it is smaller than the sum of its proper divisors (80702976).

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

42918144 is a wasteful number, since it uses less digits than its factorization.

42918144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 122 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 42918144 is about 6551.1940896298. The cubic root of 42918144 is about 350.1173592831.

The spelling of 42918144 in words is "forty-two million, nine hundred eighteen thousand, one hundred forty-four".