411394365504 has 448 divisors, whose sum is σ = 1286070681600. Its totient is φ = 130377392640.

The previous prime is 411394365497. The next prime is 411394365521. The reversal of 411394365504 is 405563493114.

411394365504 is a `hidden beast` number, since 4 + 1 + 1 + 3 + 94 + 3 + 6 + 550 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 411394365504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 256000669 + ... + 256002275.

Almost surely, 2^411394365504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411394365504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643035340800).

411394365504 is an abundant number, since it is smaller than the sum of its proper divisors (874676316096).

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

411394365504 is an equidigital number, since it uses as much as digits as its factorization.

411394365504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 411394365504 in words is "four hundred eleven billion, three hundred ninety-four million, three hundred sixty-five thousand, five hundred four".