42042144 has 48 divisors (see below), whose sum is σ = 112456512. Its totient is φ = 13747968.

The previous prime is 42042109. The next prime is 42042151. The reversal of 42042144 is 44124024.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 42042144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 957 + ... + 9219.

It is an arithmetic number, because the mean of its divisors is an integer number (2342844).

Almost surely, 2^42042144 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 42042144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56228256).

42042144 is an abundant number, since it is smaller than the sum of its proper divisors (70414368).

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

42042144 is a wasteful number, since it uses less digits than its factorization.

42042144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8329 (or 8321 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 42042144 is about 6483.9913633502. The cubic root of 42042144 is about 347.7188904375.

Adding to 42042144 its reverse (44124024), we get a palindrome (86166168).

The spelling of 42042144 in words is "forty-two million, forty-two thousand, one hundred forty-four".