42210720 has 120 divisors (see below), whose sum is σ = 149014404. Its totient is φ = 11252736.

The previous prime is 42210713. The next prime is 42210731. The reversal of 42210720 is 2701224.

It can be written as a sum of positive squares in 2 ways, for example, as 41525136 + 685584 = 6444^2 + 828^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 42210693 and 42210702.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11332 + ... + 14588.

Almost surely, 2^42210720 is an apocalyptic number.

42210720 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 42210720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74507202).

42210720 is an abundant number, since it is smaller than the sum of its proper divisors (106803684).

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

42210720 is a wasteful number, since it uses less digits than its factorization.

42210720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3284 (or 3267 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 42210720 is about 6496.9777589276. The cubic root of 42210720 is about 348.1830190692.

Adding to 42210720 its reverse (2701224), we get a palindrome (44911944).

The spelling of 42210720 in words is "forty-two million, two hundred ten thousand, seven hundred twenty".