4171998247209 has 81 divisors (see below), whose sum is σ = 6615484158231. Its totient is φ = 2532431472480.

The previous prime is 4171998247201. The next prime is 4171998247231. The reversal of 4171998247209 is 9027428991714.

The square root of 4171998247209 is 2042547.

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

4171998247209 is a `hidden beast` number, since 4 + 1 + 71 + 9 + 98 + 2 + 472 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 617159504025 + 3554838743184 = 785595^2 + 1885428^2 .

It is not a de Polignac number, because 4171998247209 - 2³ = 4171998247201 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4171998247201) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6611724324 + ... + 6611724954.

Almost surely, 2^{4171998247209} is an apocalyptic number.

4171998247209 is the 2042547-th square number.

4171998247209 is the 1021274-th centered octagonal number.

It is an amenable number.

4171998247209 is a deficient number, since it is larger than the sum of its proper divisors (2443485911022).

4171998247209 is an frugal number, since it uses more digits than its factorization.

4171998247209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 4171998247209 in words is "four trillion, one hundred seventy-one billion, nine hundred ninety-eight million, two hundred forty-seven thousand, two hundred nine".