42840144 has 80 divisors (see below), whose sum is σ = 124069440. Its totient is φ = 14152320.

The previous prime is 42840143. The next prime is 42840151. The reversal of 42840144 is 44104824.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42840143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56214 + ... + 56970.

It is an arithmetic number, because the mean of its divisors is an integer number (1550868).

Almost surely, 2^42840144 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 42840144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62034720).

42840144 is an abundant number, since it is smaller than the sum of its proper divisors (81229296).

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

42840144 is a wasteful number, since it uses less digits than its factorization.

42840144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 42840144 is about 6545.2382691541. The cubic root of 42840144 is about 349.9051280276.

Adding to 42840144 its reverse (44104824), we get a palindrome (86944968).

The spelling of 42840144 in words is "forty-two million, eight hundred forty thousand, one hundred forty-four".