405117072217 has 12 divisors (see below), whose sum is σ = 479547356260. Its totient is φ = 339958380960.

The previous prime is 405117072209. The next prime is 405117072251. The reversal of 405117072217 is 712270711504.

It can be written as a sum of positive squares in 2 ways, for example, as 32191895241 + 372925176976 = 179421^2 + 610676^2 .

It is not a de Polignac number, because 405117072217 - 2³ = 405117072209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (405117073217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128770542 + ... + 128773687.

Almost surely, 2^405117072217 is an apocalyptic number.

It is an amenable number.

405117072217 is a deficient number, since it is larger than the sum of its proper divisors (74430284043).

405117072217 is a wasteful number, since it uses less digits than its factorization.

405117072217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257544264 (or 257544253 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 37.

The spelling of 405117072217 in words is "four hundred five billion, one hundred seventeen million, seventy-two thousand, two hundred seventeen".