420000042 has 32 divisors (see below), whose sum is σ = 1047273984. Its totient is φ = 109090800.

The previous prime is 420000029. The next prime is 420000101. The reversal of 420000042 is 240000024.

It is a junction number, because it is equal to n+sod(n) for n = 419999982 and 420000027.

It is an unprimeable number.

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, 454084 + ... + 455007.

It is an arithmetic number, because the mean of its divisors is an integer number (32727312).

Almost surely, 2^420000042 is an apocalyptic number.

420000042 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

420000042 is an abundant number, since it is smaller than the sum of its proper divisors (627273942).

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

420000042 is a wasteful number, since it uses less digits than its factorization.

420000042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909114.

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 420000042 is about 20493.9025566142. The cubic root of 420000042 is about 748.8872636848.

Adding to 420000042 its reverse (240000024), we get a palindrome (660000066).

The spelling of 420000042 in words is "four hundred twenty million, forty-two", and thus it is an aban number.