409022957667856 has 405 divisors, whose sum is σ = 961322689497933. Its totient is φ = 168098042810880.

The previous prime is 409022957667809. The next prime is 409022957667869. The reversal of 409022957667856 is 658766759220904.

The square root of 409022957667856 is 20224316.

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., 19709018186256 + 389313939481600 = 4439484^2 + 19731040^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1834183666561 + ... + 1834183666783.

Almost surely, 2^{409022957667856} is an apocalyptic number.

409022957667856 is the 20224316-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409022957667856

409022957667856 is an abundant number, since it is smaller than the sum of its proper divisors (552299731830077).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

409022957667856 is an frugal number, since it uses more digits than its factorization.

409022957667856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 2743372800, while the sum is 76.

The spelling of 409022957667856 in words is "four hundred nine trillion, twenty-two billion, nine hundred fifty-seven million, six hundred sixty-seven thousand, eight hundred fifty-six".