42624144 has 120 divisors (see below), whose sum is σ = 130443040. Its totient is φ = 13436928.

The previous prime is 42624143. The next prime is 42624157. The reversal of 42624144 is 44142624.

It is a happy number.

It is a super-3 number, since 3×42624144³ (a number of 24 digits) contains 333 as substring.

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

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

It is not an unprimeable number, because it can be changed into a prime (42624143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73584 + ... + 74160.

Almost surely, 2^42624144 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 42624144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65221520).

42624144 is an abundant number, since it is smaller than the sum of its proper divisors (87818896).

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

42624144 is a wasteful number, since it uses less digits than its factorization.

42624144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 601 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 42624144 is about 6528.7168724030. The cubic root of 42624144 is about 349.3160630249.

Adding to 42624144 its reverse (44142624), we get a palindrome (86766768).

The spelling of 42624144 in words is "forty-two million, six hundred twenty-four thousand, one hundred forty-four".