42009264 has 90 divisors (see below), whose sum is σ = 129280788. Its totient is φ = 12724800.

The previous prime is 42009251. The next prime is 42009287. The reversal of 42009264 is 46290024.

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 17 ways as a sum of consecutive naturals, for example, 16219 + ... + 18629.

Almost surely, 2^42009264 is an apocalyptic number.

42009264 is a gapful number since it is divisible by the number (44) 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 42009264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64640394).

42009264 is an abundant number, since it is smaller than the sum of its proper divisors (87271524).

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

42009264 is a wasteful number, since it uses less digits than its factorization.

42009264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2447 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 42009264 is about 6481.4553921168. The cubic root of 42009264 is about 347.6282196819.

Adding to 42009264 its reverse (46290024), we get a palindrome (88299288).

The spelling of 42009264 in words is "forty-two million, nine thousand, two hundred sixty-four".