42313600 has 96 divisors (see below), whose sum is σ = 119523600. Its totient is φ = 14499840.

The previous prime is 42313577. The next prime is 42313603. The reversal of 42313600 is 631324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42313603) 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, 21456 + ... + 23344.

Almost surely, 2^42313600 is an apocalyptic number.

42313600 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 42313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59761800).

42313600 is an abundant number, since it is smaller than the sum of its proper divisors (77210000).

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

42313600 is a wasteful number, since it uses less digits than its factorization.

42313600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 42313600 is about 6504.8904679479. The cubic root of 42313600 is about 348.4656645375.

Adding to 42313600 its reverse (631324), we get a palindrome (42944924).

The spelling of 42313600 in words is "forty-two million, three hundred thirteen thousand, six hundred".