42287809600 has 189 divisors, whose sum is σ = 107159395917. Its totient is φ = 16424878080.

The previous prime is 42287809589. The next prime is 42287809607. The reversal of 42287809600 is 690878224.

The square root of 42287809600 is 205640.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 19629130816 + 22658678784 = 140104^2 + 150528^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42287809607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 435956752 + ... + 435956848.

Almost surely, 2^42287809600 is an apocalyptic number.

42287809600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

42287809600 is the 205640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42287809600

42287809600 is an abundant number, since it is smaller than the sum of its proper divisors (64871586317).

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

42287809600 is an frugal number, since it uses more digits than its factorization.

42287809600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The spelling of 42287809600 in words is "forty-two billion, two hundred eighty-seven million, eight hundred nine thousand, six hundred".