42009600 has 132 divisors (see below), whose sum is σ = 139097744. Its totient is φ = 11182080.

The previous prime is 42009577. The next prime is 42009613. The reversal of 42009600 is 690024.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76527 + ... + 77073.

Almost surely, 2^42009600 is an apocalyptic number.

42009600 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 42009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69548872).

42009600 is an abundant number, since it is smaller than the sum of its proper divisors (97088144).

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

42009600 is a wasteful number, since it uses less digits than its factorization.

42009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 42009600 is about 6481.4813121693. The cubic root of 42009600 is about 347.6291464836.

Adding to 42009600 its reverse (690024), we get a palindrome (42699624).

The spelling of 42009600 in words is "forty-two million, nine thousand, six hundred".