42042320 has 20 divisors (see below), whose sum is σ = 97748580. Its totient is φ = 16816896.

The previous prime is 42042317. The next prime is 42042331. The reversal of 42042320 is 2324024.

It can be written as a sum of positive squares in 2 ways, for example, as 15085456 + 26956864 = 3884^2 + 5192^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 262685 + ... + 262844.

It is an arithmetic number, because the mean of its divisors is an integer number (4887429).

Almost surely, 2^42042320 is an apocalyptic number.

42042320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42042320 is an abundant number, since it is smaller than the sum of its proper divisors (55706260).

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

42042320 is a wasteful number, since it uses less digits than its factorization.

42042320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525542 (or 525536 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 42042320 is about 6484.0049352233. The cubic root of 42042320 is about 347.7193756525.

Adding to 42042320 its reverse (2324024), we get a palindrome (44366344).

The spelling of 42042320 in words is "forty-two million, forty-two thousand, three hundred twenty".