42004314 has 48 divisors (see below), whose sum is σ = 105131520. Its totient is φ = 11978880.

The previous prime is 42004309. The next prime is 42004321. The reversal of 42004314 is 41340024.

42004314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×42004314³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2874 + ... + 9605.

It is an arithmetic number, because the mean of its divisors is an integer number (2190240).

Almost surely, 2^42004314 is an apocalyptic number.

42004314 is an abundant number, since it is smaller than the sum of its proper divisors (63127206).

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

42004314 is a wasteful number, since it uses less digits than its factorization.

42004314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12515 (or 12512 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 42004314 is about 6481.0735221875. The cubic root of 42004314 is about 347.6145653343.

Adding to 42004314 its reverse (41340024), we get a palindrome (83344338).

The spelling of 42004314 in words is "forty-two million, four thousand, three hundred fourteen".