4041272041 has 9 divisors (see below), whose sum is σ = 4077898839. Its totient is φ = 4004973000.

The previous prime is 4041272033. The next prime is 4041272057. The reversal of 4041272041 is 1402721404.

The square root of 4041272041 is 63571.

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., 19175641 + 4022096400 = 4379^2 + 63420^2 .

It is not a de Polignac number, because 4041272041 - 2³ = 4041272033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4041271997 and 4041272015.

It is not an unprimeable number, because it can be changed into a prime (4041272071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9599011 + ... + 9599431.

It is an arithmetic number, because the mean of its divisors is an integer number (453099871).

Almost surely, 2^4041272041 is an apocalyptic number.

4041272041 is the 63571-st square number.

4041272041 is the 31786-th centered octagonal number.

It is an amenable number.

4041272041 is a deficient number, since it is larger than the sum of its proper divisors (36626798).

4041272041 is an frugal number, since it uses more digits than its factorization.

4041272041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The cubic root of 4041272041 is about 1592.8419882186.

Multiplying 4041272041 by its sum of digits (25), we get a square (101031801025 = 317855²).

Adding to 4041272041 its reverse (1402721404), we get a palindrome (5443993445).

The spelling of 4041272041 in words is "four billion, forty-one million, two hundred seventy-two thousand, forty-one".