42004224 has 144 divisors (see below), whose sum is σ = 127545600. Its totient is φ = 13630464.

The previous prime is 42004219. The next prime is 42004301. The reversal of 42004224 is 42240024.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42004197 and 42004206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 407757 + ... + 407859.

Almost surely, 2^42004224 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 42004224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63772800).

42004224 is an abundant number, since it is smaller than the sum of its proper divisors (85541376).

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

42004224 is a wasteful number, since it uses less digits than its factorization.

42004224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 42004224 is about 6481.0665788896. The cubic root of 42004224 is about 347.6143170635.

Adding to 42004224 its reverse (42240024), we get a palindrome (84244248).

The spelling of 42004224 in words is "forty-two million, four thousand, two hundred twenty-four".