4081624211809 has 27 divisors (see below), whose sum is σ = 4190088732537. Its totient is φ = 3975956304000.

The previous prime is 4081624211741. The next prime is 4081624211837. The reversal of 4081624211809 is 9081124261804.

The square root of 4081624211809 is 2020303.

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

4081624211809 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 4 ways, for example, as 2304788531409 + 1776835680400 = 1518153^2 + 1332980^2 .

It is not a de Polignac number, because 4081624211809 - 2¹⁹ = 4081623687521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4081624211869) 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, 16936199929 + ... + 16936200169.

Almost surely, 2^{4081624211809} is an apocalyptic number.

4081624211809 is the 2020303-rd square number.

4081624211809 is the 1010152-nd centered octagonal number.

It is an amenable number.

4081624211809 is a deficient number, since it is larger than the sum of its proper divisors (108464520728).

4081624211809 is an frugal number, since it uses more digits than its factorization.

4081624211809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 46.

The spelling of 4081624211809 in words is "four trillion, eighty-one billion, six hundred twenty-four million, two hundred eleven thousand, eight hundred nine".