4182564897424 has 45 divisors (see below), whose sum is σ = 8374070120169. Its totient is φ = 2023699016640.

The previous prime is 4182564897421. The next prime is 4182564897449. The reversal of 4182564897424 is 4247984652814.

It is a happy number.

The square root of 4182564897424 is 2045132.

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

It can be written as a sum of positive squares in only one way, i.e., 113339955600 + 4069224941824 = 336660^2 + 2017232^2 .

It is not an unprimeable number, because it can be changed into a prime (4182564897421) 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 8 ways as a sum of consecutive naturals, for example, 253588122 + ... + 253604614.

Almost surely, 2^{4182564897424} is an apocalyptic number.

4182564897424 is the 2045132-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4182564897424

4182564897424 is an abundant number, since it is smaller than the sum of its proper divisors (4191505222745).

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

4182564897424 is an frugal number, since it uses more digits than its factorization.

4182564897424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33056 (or 16526 counting only the distinct ones).

The product of its digits is 123863040, while the sum is 64.

Multiplying 4182564897424 by its sum of digits (64), we get a square (267684153435136 = 16361056²).

The spelling of 4182564897424 in words is "four trillion, one hundred eighty-two billion, five hundred sixty-four million, eight hundred ninety-seven thousand, four hundred twenty-four".