411564003876 has 72 divisors (see below), whose sum is σ = 1066056593784. Its totient is φ = 133799247360.

The previous prime is 411564003853. The next prime is 411564003901. The reversal of 411564003876 is 678300465114.

411564003876 is a `hidden beast` number, since 4 + 1 + 1 + 564 + 0 + 0 + 3 + 87 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37607293476 + 373956710400 = 193926^2 + 611520^2 .

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 23 ways as a sum of consecutive naturals, for example, 4758570 + ... + 4844286.

Almost surely, 2^411564003876 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 411564003876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533028296892).

411564003876 is an abundant number, since it is smaller than the sum of its proper divisors (654492589908).

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

411564003876 is a wasteful number, since it uses less digits than its factorization.

411564003876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89021 (or 89016 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 411564003876 in words is "four hundred eleven billion, five hundred sixty-four million, three thousand, eight hundred seventy-six".