42448360900 has 81 divisors (see below), whose sum is σ = 101302196583. Its totient is φ = 15427526400.

The previous prime is 42448360847. The next prime is 42448360931. The reversal of 42448360900 is 906384424.

The square root of 42448360900 is 206030.

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

It can be written as a sum of positive squares in 4 ways, for example, as 20304540036 + 22143820864 = 142494^2 + 148808^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22662364 + ... + 22664236.

Almost surely, 2^42448360900 is an apocalyptic number.

42448360900 is the 206030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42448360900

42448360900 is an abundant number, since it is smaller than the sum of its proper divisors (58853835683).

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

42448360900 is a wasteful number, since it uses less digits than its factorization.

42448360900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3782 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The spelling of 42448360900 in words is "forty-two billion, four hundred forty-eight million, three hundred sixty thousand, nine hundred".