42210520 has 128 divisors (see below), whose sum is σ = 111767040. Its totient is φ = 14192640.

The previous prime is 42210431. The next prime is 42210521. The reversal of 42210520 is 2501224.

It is a junction number, because it is equal to n+sod(n) for n = 42210494 and 42210503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42210521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 435112 + ... + 435208.

It is an arithmetic number, because the mean of its divisors is an integer number (873180).

Almost surely, 2^42210520 is an apocalyptic number.

42210520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42210520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55883520).

42210520 is an abundant number, since it is smaller than the sum of its proper divisors (69556520).

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

42210520 is a wasteful number, since it uses less digits than its factorization.

42210520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 42210520 is about 6496.9623671374. The cubic root of 42210520 is about 348.1824691559.

Adding to 42210520 its reverse (2501224), we get a palindrome (44711744).

The spelling of 42210520 in words is "forty-two million, two hundred ten thousand, five hundred twenty".