409642241089 has 9 divisors (see below), whose sum is σ = 435167849257. Its totient is φ = 385535398144.

The previous prime is 409642241081. The next prime is 409642241101. The reversal of 409642241089 is 980142246904.

It is a happy number.

The square root of 409642241089 is 640033.

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

It can be written as a sum of positive squares in 4 ways, for example, as 241056450625 + 168585790464 = 490975^2 + 410592^2 .

It is not a de Polignac number, because 409642241089 - 2³ = 409642241081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (409642241081) 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, 10861737 + ... + 10899385.

Almost surely, 2^409642241089 is an apocalyptic number.

409642241089 is the 640033-rd square number.

409642241089 is the 320017-th centered octagonal number.

It is an amenable number.

409642241089 is a deficient number, since it is larger than the sum of its proper divisors (25525608168).

409642241089 is an frugal number, since it uses more digits than its factorization.

409642241089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75332 (or 37666 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 49.

Multiplying 409642241089 by its sum of digits (49), we get a square (20072469813361 = 4480231²).

The spelling of 409642241089 in words is "four hundred nine billion, six hundred forty-two million, two hundred forty-one thousand, eighty-nine".