409742092321 has 9 divisors (see below), whose sum is σ = 412317900211. Its totient is φ = 407182288432.

The previous prime is 409742092307. The next prime is 409742092351. The reversal of 409742092321 is 123290247904.

The square root of 409742092321 is 640111.

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., 88860629025 + 320881463296 = 298095^2 + 566464^2 .

It is a de Polignac number, because none of the positive numbers 2^k-409742092321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (409742092351) 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, 106896621 + ... + 106900453.

Almost surely, 2^409742092321 is an apocalyptic number.

409742092321 is the 640111-st square number.

409742092321 is the 320056-th centered octagonal number.

It is an amenable number.

409742092321 is a deficient number, since it is larger than the sum of its proper divisors (2575807890).

409742092321 is an frugal number, since it uses more digits than its factorization.

409742092321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8000 (or 4000 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The spelling of 409742092321 in words is "four hundred nine billion, seven hundred forty-two million, ninety-two thousand, three hundred twenty-one".