42114304 has 36 divisors (see below), whose sum is σ = 89018244. Its totient is φ = 19816448.

The previous prime is 42114301. The next prime is 42114323. The reversal of 42114304 is 40341124.

It can be written as a sum of positive squares in 2 ways, for example, as 30824704 + 11289600 = 5552^2 + 3360^2 .

It is a super-2 number, since 2×42114304² = 3547229202808832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42114301) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 487 + ... + 9190.

It is an arithmetic number, because the mean of its divisors is an integer number (2472729).

Almost surely, 2^42114304 is an apocalyptic number.

It is an amenable number.

42114304 is an abundant number, since it is smaller than the sum of its proper divisors (46903940).

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

42114304 is an equidigital number, since it uses as much as digits as its factorization.

42114304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9710 (or 9696 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 42114304 is about 6489.5534515096. The cubic root of 42114304 is about 347.9177151645.

Adding to 42114304 its reverse (40341124), we get a palindrome (82455428).

It can be divided in two parts, 4211 and 4304, that added together give a triangular number (8515 = T₁₃₀).

The spelling of 42114304 in words is "forty-two million, one hundred fourteen thousand, three hundred four".