42210020 has 48 divisors (see below), whose sum is σ = 94227840. Its totient is φ = 15837696.

The previous prime is 42210019. The next prime is 42210023. The reversal of 42210020 is 2001224.

It is a junction number, because it is equal to n+sod(n) for n = 42209983 and 42210010.

It is not an unprimeable number, because it can be changed into a prime (42210023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42449 + ... + 43431.

It is an arithmetic number, because the mean of its divisors is an integer number (1963080).

Almost surely, 2^42210020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47113920).

42210020 is an abundant number, since it is smaller than the sum of its proper divisors (52017820).

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

42210020 is a wasteful number, since it uses less digits than its factorization.

42210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 42210020 is about 6496.9238875025. The cubic root of 42210020 is about 348.1810943649.

Adding to 42210020 its reverse (2001224), we get a palindrome (44211244).

The spelling of 42210020 in words is "forty-two million, two hundred ten thousand, twenty".