409895733361 has 3 divisors (see below), whose sum is σ = 409896373593. Its totient is φ = 409895093130.

The previous prime is 409895733347. The next prime is 409895733367. The reversal of 409895733361 is 163337598904.

The square root of 409895733361 is 640231.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 409895733361 - 2¹¹ = 409895731313 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 409895733296 and 409895733305.

It is not an unprimeable number, because it can be changed into a prime (409895733367) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 320116 + ... + 960346.

It is an arithmetic number, because the mean of its divisors is an integer number (136632124531).

Almost surely, 2^409895733361 is an apocalyptic number.

409895733361 is the 640231-st square number.

409895733361 is the 320116-th centered octagonal number.

It is an amenable number.

409895733361 is a deficient number, since it is larger than the sum of its proper divisors (640232).

409895733361 is an frugal number, since it uses more digits than its factorization.

409895733361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280462 (or 640231 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 58.

The spelling of 409895733361 in words is "four hundred nine billion, eight hundred ninety-five million, seven hundred thirty-three thousand, three hundred sixty-one".