42209702500 has 135 divisors (see below), whose sum is σ = 107557479183. Its totient is φ = 14447244000.

The previous prime is 42209702497. The next prime is 42209702501. The reversal of 42209702500 is 520790224.

The square root of 42209702500 is 205450.

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

It can be written as a sum of positive squares in 2 ways, for example, as 3309240676 + 38900461824 = 57526^2 + 197232^2 .

It is not an unprimeable number, because it can be changed into a prime (42209702501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 71907207 + ... + 71907793.

Almost surely, 2^42209702500 is an apocalyptic number.

42209702500 is the 205450-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42209702500

42209702500 is an abundant number, since it is smaller than the sum of its proper divisors (65347776683).

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

42209702500 is an frugal number, since it uses more digits than its factorization.

42209702500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The spelling of 42209702500 in words is "forty-two billion, two hundred nine million, seven hundred two thousand, five hundred".