4144398129 has 45 divisors (see below), whose sum is σ = 6492769129. Its totient is φ = 2634306840.

The previous prime is 4144398107. The next prime is 4144398173. The reversal of 4144398129 is 9218934414.

The square root of 4144398129 is 64377.

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

It is not a de Polignac number, because 4144398129 - 2⁷ = 4144398001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4144398529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 13325884 + ... + 13326194.

Almost surely, 2^4144398129 is an apocalyptic number.

4144398129 is the 64377-th square number.

4144398129 is the 32189-th centered octagonal number.

It is an amenable number.

4144398129 is a deficient number, since it is larger than the sum of its proper divisors (2348371000).

4144398129 is an frugal number, since it uses more digits than its factorization.

4144398129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 337 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The cubic root of 4144398129 is about 1606.2771806349.

The spelling of 4144398129 in words is "four billion, one hundred forty-four million, three hundred ninety-eight thousand, one hundred twenty-nine".