42109968 has 20 divisors (see below), whose sum is σ = 108784208. Its totient is φ = 14036640.

The previous prime is 42109939. The next prime is 42109973. The reversal of 42109968 is 86990124.

It is a super-2 number, since 2×42109968² = 3546498809922048, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 438598 + ... + 438693.

Almost surely, 2^42109968 is an apocalyptic number.

42109968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42109968 is an abundant number, since it is smaller than the sum of its proper divisors (66674240).

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

42109968 is a wasteful number, since it uses less digits than its factorization.

42109968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877302 (or 877296 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 42109968 is about 6489.2193675357. The cubic root of 42109968 is about 347.9057744631.

The spelling of 42109968 in words is "forty-two million, one hundred nine thousand, nine hundred sixty-eight".