42025600 has 96 divisors (see below), whose sum is σ = 108519840. Its totient is φ = 16051200.

The previous prime is 42025583. The next prime is 42025631. The reversal of 42025600 is 652024.

It is a zygodrome in base 4.

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, 73315 + ... + 73885.

It is an arithmetic number, because the mean of its divisors is an integer number (1130415).

Almost surely, 2^42025600 is an apocalyptic number.

42025600 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 42025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54259920).

42025600 is an abundant number, since it is smaller than the sum of its proper divisors (66494240).

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

42025600 is a wasteful number, since it uses less digits than its factorization.

42025600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 42025600 is about 6482.7154804141. The cubic root of 42025600 is about 347.6732741779.

Adding to 42025600 its reverse (652024), we get a palindrome (42677624).

The spelling of 42025600 in words is "forty-two million, twenty-five thousand, six hundred".