411563241600 has 576 divisors, whose sum is σ = 1601080470720. Its totient is φ = 91022745600.

The previous prime is 411563241589. The next prime is 411563241623. The reversal of 411563241600 is 6142365114.

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 71 ways as a sum of consecutive naturals, for example, 64576014 + ... + 64582386.

It is an arithmetic number, because the mean of its divisors is an integer number (2779653595).

Almost surely, 2^411563241600 is an apocalyptic number.

411563241600 is a gapful number since it is divisible by the number (40) 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 411563241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800540235360).

411563241600 is an abundant number, since it is smaller than the sum of its proper divisors (1189517229120).

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

411563241600 is a wasteful number, since it uses less digits than its factorization.

411563241600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6469 (or 6421 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 411563241600 in words is "four hundred eleven billion, five hundred sixty-three million, two hundred forty-one thousand, six hundred".