411819828576 has 192 divisors, whose sum is σ = 1205260197120. Its totient is φ = 122249594880.

The previous prime is 411819828559. The next prime is 411819828577. The reversal of 411819828576 is 675828918114.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411819828577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56854011 + ... + 56861253.

It is an arithmetic number, because the mean of its divisors is an integer number (6277396860).

Almost surely, 2^411819828576 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 411819828576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602630098560).

411819828576 is an abundant number, since it is smaller than the sum of its proper divisors (793440368544).

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

411819828576 is a wasteful number, since it uses less digits than its factorization.

411819828576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8869 (or 8861 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 60.

The spelling of 411819828576 in words is "four hundred eleven billion, eight hundred nineteen million, eight hundred twenty-eight thousand, five hundred seventy-six".