42042810 has 32 divisors (see below), whose sum is σ = 102617280. Its totient is φ = 11020928.

The previous prime is 42042809. The next prime is 42042811. The reversal of 42042810 is 1824024.

It is an interprime number because it is at equal distance from previous prime (42042809) and next prime (42042811).

It is a super-2 number, since 2×42042810² = 3535195745392200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42042811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10107 + ... + 13646.

It is an arithmetic number, because the mean of its divisors is an integer number (3206790).

Almost surely, 2^42042810 is an apocalyptic number.

42042810 is an abundant number, since it is smaller than the sum of its proper divisors (60574470).

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

42042810 is a wasteful number, since it uses less digits than its factorization.

42042810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23822.

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 42042810 is about 6484.0427204021. The cubic root of 42042810 is about 347.7207265281.

Adding to 42042810 its reverse (1824024), we get a palindrome (43866834).

The spelling of 42042810 in words is "forty-two million, forty-two thousand, eight hundred ten".