42004424 has 48 divisors (see below), whose sum is σ = 98952000. Its totient is φ = 16362720.

The previous prime is 42004423. The next prime is 42004427. The reversal of 42004424 is 42440024.

It is a junction number, because it is equal to n+sod(n) for n = 42004396 and 42004405.

It is not an unprimeable number, because it can be changed into a prime (42004423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3677 + ... + 9875.

It is an arithmetic number, because the mean of its divisors is an integer number (2061500).

Almost surely, 2^42004424 is an apocalyptic number.

42004424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42004424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49476000).

42004424 is an abundant number, since it is smaller than the sum of its proper divisors (56947576).

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

42004424 is a wasteful number, since it uses less digits than its factorization.

42004424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6234 (or 6219 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 42004424 is about 6481.0820084304. The cubic root of 42004424 is about 347.6148687759.

Adding to 42004424 its reverse (42440024), we get a palindrome (84444448).

Subtracting 42004424 from its reverse (42440024), we obtain a square (435600 = 660²).

The spelling of 42004424 in words is "forty-two million, four thousand, four hundred twenty-four".