42115600 has 60 divisors (see below), whose sum is σ = 101866000. Its totient is φ = 16732800.

The previous prime is 42115589. The next prime is 42115607. The reversal of 42115600 is 651124.

It is not an unprimeable number, because it can be changed into a prime (42115607) 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 11 ways as a sum of consecutive naturals, for example, 84151 + ... + 84649.

Almost surely, 2^42115600 is an apocalyptic number.

42115600 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 42115600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50933000).

42115600 is an abundant number, since it is smaller than the sum of its proper divisors (59750400).

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

42115600 is a wasteful number, since it uses less digits than its factorization.

42115600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 42115600 is about 6489.6533035286. The cubic root of 42115600 is about 347.9212839974.

Adding to 42115600 its reverse (651124), we get a palindrome (42766724).

The spelling of 42115600 in words is "forty-two million, one hundred fifteen thousand, six hundred".