42412144 has 40 divisors (see below), whose sum is σ = 87503328. Its totient is φ = 19845120.

The previous prime is 42412133. The next prime is 42412151. The reversal of 42412144 is 44121424.

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, 65229 + ... + 65875.

Almost surely, 2^42412144 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 42412144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43751664).

42412144 is an abundant number, since it is smaller than the sum of its proper divisors (45091184).

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

42412144 is a wasteful number, since it uses less digits than its factorization.

42412144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 907 counting only the distinct ones).

The product of its digits is 1024, while the sum is 22.

The square root of 42412144 is about 6512.4606716663. The cubic root of 42412144 is about 348.7359683122.

Adding to 42412144 its reverse (44121424), we get a palindrome (86533568).

The spelling of 42412144 in words is "forty-two million, four hundred twelve thousand, one hundred forty-four".