42410000 has 50 divisors (see below), whose sum is σ = 102703062. Its totient is φ = 16960000.

The previous prime is 42409987. The next prime is 42410003. The reversal of 42410000 is 1424.

It can be written as a sum of positive squares in 5 ways, for example, as 4857616 + 37552384 = 2204^2 + 6128^2 .

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

It is not an unprimeable number, because it can be changed into a prime (42410003) by changing a digit.

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, 7880 + ... + 12120.

Almost surely, 2^42410000 is an apocalyptic number.

42410000 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 42410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51351531).

42410000 is an abundant number, since it is smaller than the sum of its proper divisors (60293062).

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

42410000 is an equidigital number, since it uses as much as digits as its factorization.

42410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4269 (or 4248 counting only the distinct ones).

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

The square root of 42410000 is about 6512.2960620660. The cubic root of 42410000 is about 348.7300918309.

Adding to 42410000 its reverse (1424), we get a palindrome (42411424).

The spelling of 42410000 in words is "forty-two million, four hundred ten thousand".