42010000 has 50 divisors (see below), whose sum is σ = 101734622. Its totient is φ = 16800000.

The previous prime is 42009971. The next prime is 42010013. The reversal of 42010000 is 1024.

It can be written as a sum of positive squares in 5 ways, for example, as 27751824 + 14258176 = 5268^2 + 3776^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7900 + ... + 12100.

Almost surely, 2^42010000 is an apocalyptic number.

42010000 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 42010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50867311).

42010000 is an abundant number, since it is smaller than the sum of its proper divisors (59724622).

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

42010000 is an equidigital number, since it uses as much as digits as its factorization.

42010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4229 (or 4208 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 42010000 is about 6481.5121692395. The cubic root of 42010000 is about 347.6302498125.

Adding to 42010000 its reverse (1024), we get a palindrome (42011024).

The spelling of 42010000 in words is "forty-two million, ten thousand".