4862133441 has 27 divisors (see below), whose sum is σ = 7723240707. Its totient is φ = 2945352960.

The previous prime is 4862133371. The next prime is 4862133449. The reversal of 4862133441 is 1443312684.

The square root of 4862133441 is 69729.

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

4862133441 is a `hidden beast` number, since 4 + 86 + 2 + 133 + 441 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4601025 + 4857532416 = 2145^2 + 69696^2 .

It is not a de Polignac number, because 4862133441 - 2⁷ = 4862133313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4862133396 and 4862133405.

It is not an unprimeable number, because it can be changed into a prime (4862133449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2300001 + ... + 2302113.

Almost surely, 2^4862133441 is an apocalyptic number.

4862133441 is the 69729-th square number.

4862133441 is the 34865-th centered octagonal number.

It is an amenable number.

4862133441 is a deficient number, since it is larger than the sum of its proper divisors (2861107266).

4862133441 is an equidigital number, since it uses as much as digits as its factorization.

4862133441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4254 (or 2127 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The cubic root of 4862133441 is about 1694.1126731150.

Multiplying 4862133441 by its sum of digits (36), we get a square (175036803876 = 418374²).

The spelling of 4862133441 in words is "four billion, eight hundred sixty-two million, one hundred thirty-three thousand, four hundred forty-one".