17411066401 has 9 divisors (see below), whose sum is σ = 18204155571. Its totient is φ = 16651160592.

The previous prime is 17411066399. The next prime is 17411066473. The reversal of 17411066401 is 10466011471.

The square root of 17411066401 is 131951.

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., 151413025 + 17259653376 = 12305^2 + 131376^2 .

It is not a de Polignac number, because 17411066401 - 2¹ = 17411066399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (17411066201) 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, 3032005 + ... + 3037741.

Almost surely, 2^17411066401 is an apocalyptic number.

17411066401 is the 131951-st square number.

17411066401 is the 65976-th centered octagonal number.

It is an amenable number.

17411066401 is a deficient number, since it is larger than the sum of its proper divisors (793089170).

17411066401 is an frugal number, since it uses more digits than its factorization.

17411066401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11520 (or 5760 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

Adding to 17411066401 its reverse (10466011471), we get a palindrome (27877077872).

The spelling of 17411066401 in words is "seventeen billion, four hundred eleven million, sixty-six thousand, four hundred one".