42004320 has 48 divisors (see below), whose sum is σ = 132315120. Its totient is φ = 11201024.

The previous prime is 42004309. The next prime is 42004321. The reversal of 42004320 is 2340024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 42004320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42004321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43275 + ... + 44234.

It is an arithmetic number, because the mean of its divisors is an integer number (2756565).

Almost surely, 2^42004320 is an apocalyptic number.

42004320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42004320 is an abundant number, since it is smaller than the sum of its proper divisors (90310800).

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

42004320 is a wasteful number, since it uses less digits than its factorization.

42004320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87527 (or 87519 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 42004320 is about 6481.0739850738. The cubic root of 42004320 is about 347.6145818857.

Adding to 42004320 its reverse (2340024), we get a palindrome (44344344).

It can be divided in two parts, 42004 and 320, that added together give a palindrome (42324).

The spelling of 42004320 in words is "forty-two million, four thousand, three hundred twenty".