42113600 has 42 divisors (see below), whose sum is σ = 103629714. Its totient is φ = 16844800.

The previous prime is 42113569. The next prime is 42113609. The reversal of 42113600 is 631124.

It can be written as a sum of positive squares in 3 ways, for example, as 10394176 + 31719424 = 3224^2 + 5632^2 .

It is not an unprimeable number, because it can be changed into a prime (42113609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11561 + ... + 14760.

Almost surely, 2^42113600 is an apocalyptic number.

42113600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42113600 is an abundant number, since it is smaller than the sum of its proper divisors (61516114).

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

42113600 is a wasteful number, since it uses less digits than its factorization.

42113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26343 (or 26328 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 42113600 is about 6489.4992102627. The cubic root of 42113600 is about 347.9157765086.

Adding to 42113600 its reverse (631124), we get a palindrome (42744724).

The spelling of 42113600 in words is "forty-two million, one hundred thirteen thousand, six hundred".