4641288129 has 9 divisors (see below), whose sum is σ = 6704378083. Its totient is φ = 3094055832.

The previous prime is 4641288089. The next prime is 4641288131. The reversal of 4641288129 is 9218821464.

The square root of 4641288129 is 68127.

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., 20007729 + 4621280400 = 4473^2 + 67980^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 4641288129 - 2²⁷ = 4507070401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4641288149) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 193027 + ... + 215735.

Almost surely, 2^4641288129 is an apocalyptic number.

4641288129 is the 68127-th square number.

4641288129 is the 34064-th centered octagonal number.

It is an amenable number.

4641288129 is a deficient number, since it is larger than the sum of its proper divisors (2063089954).

4641288129 is an frugal number, since it uses more digits than its factorization.

4641288129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45424 (or 22712 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The cubic root of 4641288129 is about 1668.0645138773.

The spelling of 4641288129 in words is "four billion, six hundred forty-one million, two hundred eighty-eight thousand, one hundred twenty-nine".