4317680877409 has 9 divisors (see below), whose sum is σ = 4343144431699. Its totient is φ = 4292365785160.

The previous prime is 4317680877407. The next prime is 4317680877463. The reversal of 4317680877409 is 9047780867134.

The square root of 4317680877409 is 2077903.

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., 3927590694225 + 390090183184 = 1981815^2 + 624572^2 .

It is not a de Polignac number, because 4317680877409 - 2¹ = 4317680877407 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4317680877407) 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, 359471214 + ... + 359483224.

Almost surely, 2^{4317680877409} is an apocalyptic number.

4317680877409 is the 2077903-rd square number.

4317680877409 is the 1038952-nd centered octagonal number.

It is an amenable number.

4317680877409 is a deficient number, since it is larger than the sum of its proper divisors (25463554290).

4317680877409 is an frugal number, since it uses more digits than its factorization.

4317680877409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24368 (or 12184 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 64.

Multiplying 4317680877409 by its sum of digits (64), we get a square (276331576154176 = 16623224²).

The spelling of 4317680877409 in words is "four trillion, three hundred seventeen billion, six hundred eighty million, eight hundred seventy-seven thousand, four hundred nine".