411784394112 has 1728 divisors, whose sum is σ = 1656752348160. Its totient is φ = 99567636480.

The previous prime is 411784394101. The next prime is 411784394171. The reversal of 411784394112 is 211493487114.

411784394112 is a `hidden beast` number, since 4 + 1 + 178 + 439 + 41 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 215 ways as a sum of consecutive naturals, for example, 13283367537 + ... + 13283367567.

It is an arithmetic number, because the mean of its divisors is an integer number (958768720).

Almost surely, 2^411784394112 is an apocalyptic number.

411784394112 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411784394112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828376174080).

411784394112 is an abundant number, since it is smaller than the sum of its proper divisors (1244967954048).

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

411784394112 is a wasteful number, since it uses less digits than its factorization.

411784394112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 75 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 411784394112 in words is "four hundred eleven billion, seven hundred eighty-four million, three hundred ninety-four thousand, one hundred twelve".