42810120 has 160 divisors (see below), whose sum is σ = 146666520. Its totient is φ = 11197440.

The previous prime is 42810113. The next prime is 42810127. The reversal of 42810120 is 2101824.

It is an interprime number because it is at equal distance from previous prime (42810113) and next prime (42810127).

It can be written as a sum of positive squares in 4 ways, for example, as 22071204 + 20738916 = 4698^2 + 4554^2 .

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

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 42810093 and 42810102.

It is not an unprimeable number, because it can be changed into a prime (42810127) 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 39 ways as a sum of consecutive naturals, for example, 236430 + ... + 236610.

Almost surely, 2^42810120 is an apocalyptic number.

42810120 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 42810120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73333260).

42810120 is an abundant number, since it is smaller than the sum of its proper divisors (103856400).

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

42810120 is a wasteful number, since it uses less digits than its factorization.

42810120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 42810120 is about 6542.9442913722. The cubic root of 42810120 is about 349.8233666563.

Adding to 42810120 its reverse (2101824), we get a palindrome (44911944).

The spelling of 42810120 in words is "forty-two million, eight hundred ten thousand, one hundred twenty".