4541889831241 has 27 divisors (see below), whose sum is σ = 5612807592309. Its totient is φ = 3663840985728.

The previous prime is 4541889831181. The next prime is 4541889831307. The reversal of 4541889831241 is 1421389881454.

It is a happy number.

The square root of 4541889831241 is 2131171.

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 243715005625 + 4298174825616 = 493675^2 + 2073204^2 .

It is not a de Polignac number, because 4541889831241 - 2⁹ = 4541889830729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4541889811241) 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, 253600395 + ... + 253618303.

Almost surely, 2^{4541889831241} is an apocalyptic number.

4541889831241 is the 2131171-st square number.

4541889831241 is the 1065586-th centered octagonal number.

It is an amenable number.

4541889831241 is a deficient number, since it is larger than the sum of its proper divisors (1070917761068).

4541889831241 is an frugal number, since it uses more digits than its factorization.

4541889831241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35866 (or 17933 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 58.

The spelling of 4541889831241 in words is "four trillion, five hundred forty-one billion, eight hundred eighty-nine million, eight hundred thirty-one thousand, two hundred forty-one".