42342144 has 72 divisors (see below), whose sum is σ = 121389072. Its totient is φ = 13025280.

The previous prime is 42342133. The next prime is 42342151. The reversal of 42342144 is 44124324.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7864 + ... + 12104.

Almost surely, 2^42342144 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 42342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60694536).

42342144 is an abundant number, since it is smaller than the sum of its proper divisors (79046928).

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

42342144 is a wasteful number, since it uses less digits than its factorization.

42342144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4273 (or 4259 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 42342144 is about 6507.0841396128. The cubic root of 42342144 is about 348.5440031660.

Adding to 42342144 its reverse (44124324), we get a palindrome (86466468).

It can be divided in two parts, 42342 and 144, that added together give a triangular number (42486 = T₂₉₁).

The spelling of 42342144 in words is "forty-two million, three hundred forty-two thousand, one hundred forty-four".