409093276816 has 135 divisors (see below), whose sum is σ = 941935677753. Its totient is φ = 171618545280.

The previous prime is 409093276789. The next prime is 409093276819. The reversal of 409093276816 is 618672390904.

The square root of 409093276816 is 639604.

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., 294914163600 + 114179113216 = 543060^2 + 337904^2 .

It is not an unprimeable number, because it can be changed into a prime (409093276819) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 949172121 + ... + 949172551.

Almost surely, 2^409093276816 is an apocalyptic number.

409093276816 is the 639604-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409093276816

409093276816 is an abundant number, since it is smaller than the sum of its proper divisors (532842400937).

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

409093276816 is an frugal number, since it uses more digits than its factorization.

409093276816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 55.

The spelling of 409093276816 in words is "four hundred nine billion, ninety-three million, two hundred seventy-six thousand, eight hundred sixteen".