42042600 has 72 divisors (see below), whose sum is σ = 141199110. Its totient is φ = 11210880.

The previous prime is 42042599. The next prime is 42042601. The reversal of 42042600 is 624024.

42042600 is a `hidden beast` number, since 4 + 20 + 42 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (42042599) and next prime (42042601).

It can be written as a sum of positive squares in 3 ways, for example, as 36650916 + 5391684 = 6054^2 + 2322^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (42042601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9879 + ... + 13478.

Almost surely, 2^42042600 is an apocalyptic number.

42042600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42042600 is an abundant number, since it is smaller than the sum of its proper divisors (99156510).

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

42042600 is a wasteful number, since it uses less digits than its factorization.

42042600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23379 (or 23367 counting only the distinct ones).

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

The square root of 42042600 is about 6484.0265267810. The cubic root of 42042600 is about 347.7201475827.

Adding to 42042600 its reverse (624024), we get a palindrome (42666624).

The spelling of 42042600 in words is "forty-two million, forty-two thousand, six hundred".