42009280 has 84 divisors (see below), whose sum is σ = 103857552. Its totient is φ = 16181760.

The previous prime is 42009251. The next prime is 42009287. The reversal of 42009280 is 8290024.

It is a super-2 number, since 2×42009280² = 3529559212236800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42009287) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 591645 + ... + 591715.

Almost surely, 2^42009280 is an apocalyptic number.

42009280 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 42009280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51928776).

42009280 is an abundant number, since it is smaller than the sum of its proper divisors (61848272).

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

42009280 is an equidigital number, since it uses as much as digits as its factorization.

42009280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 42009280 is about 6481.4566264074. The cubic root of 42009280 is about 347.6282638154.

The spelling of 42009280 in words is "forty-two million, nine thousand, two hundred eighty".