4272034272100 has 81 divisors (see below), whose sum is σ = 10784200315833. Its totient is φ = 1464647859360.

The previous prime is 4272034272097. The next prime is 4272034272109. The reversal of 4272034272100 is 12724302724.

The square root of 4272034272100 is 2066890.

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

4272034272100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1537932337956 + 2734101934144 = 1240134^2 + 1653512^2 .

It is not an unprimeable number, because it can be changed into a prime (4272034272109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 144667537 + ... + 144697063.

Almost surely, 2^{4272034272100} is an apocalyptic number.

4272034272100 is the 2066890-th square number.

It is an amenable number.

4272034272100 is an abundant number, since it is smaller than the sum of its proper divisors (6512166043733).

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

4272034272100 is an frugal number, since it uses more digits than its factorization.

4272034272100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59082 (or 29541 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 34.

Adding to 4272034272100 its reverse (12724302724), we get a palindrome (4284758574824).

The spelling of 4272034272100 in words is "four trillion, two hundred seventy-two billion, thirty-four million, two hundred seventy-two thousand, one hundred".