4161322564624 has 135 divisors (see below), whose sum is σ = 8668460501751. Its totient is φ = 1934834703360.

The previous prime is 4161322564571. The next prime is 4161322564643. The reversal of 4161322564624 is 4264652231614.

The square root of 4161322564624 is 2039932.

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 2206829091600 + 1954493473024 = 1485540^2 + 1398032^2 .

It is a super-2 number, since 2×4161322564624² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18171714142 + ... + 18171714370.

Almost surely, 2^{4161322564624} is an apocalyptic number.

4161322564624 is the 2039932-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4161322564624

4161322564624 is an abundant number, since it is smaller than the sum of its proper divisors (4507137937127).

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

4161322564624 is an equidigital number, since it uses as much as digits as its factorization.

4161322564624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 379 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 46.

The spelling of 4161322564624 in words is "four trillion, one hundred sixty-one billion, three hundred twenty-two million, five hundred sixty-four thousand, six hundred twenty-four".