4173338265625 has 63 divisors (see below), whose sum is σ = 5325747981897. Its totient is φ = 3270234300000.

The previous prime is 4173338265623. The next prime is 4173338265637. The reversal of 4173338265625 is 5265628333714.

The square root of 4173338265625 is 2042875.

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

It can be written as a sum of positive squares in 10 ways, for example, as 2096811153369 + 2076527112256 = 1448037^2 + 1441016^2 .

It is not a de Polignac number, because 4173338265625 - 2¹ = 4173338265623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4173338265623) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 15066202987 + ... + 15066203263.

Almost surely, 2^{4173338265625} is an apocalyptic number.

4173338265625 is the 2042875-th square number.

4173338265625 is the 1021438-th centered octagonal number.

It is an amenable number.

4173338265625 is a deficient number, since it is larger than the sum of its proper divisors (1152409716272).

4173338265625 is an frugal number, since it uses more digits than its factorization.

4173338265625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 341 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 55.

The spelling of 4173338265625 in words is "four trillion, one hundred seventy-three billion, three hundred thirty-eight million, two hundred sixty-five thousand, six hundred twenty-five".