411005541200 has 120 divisors (see below), whose sum is σ = 1013986895328. Its totient is φ = 160009597440.

The previous prime is 411005541181. The next prime is 411005541217. The reversal of 411005541200 is 2145500114.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4825382 + ... + 4909818.

Almost surely, 2^411005541200 is an apocalyptic number.

411005541200 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 411005541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506993447664).

411005541200 is an abundant number, since it is smaller than the sum of its proper divisors (602981354128).

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

411005541200 is a wasteful number, since it uses less digits than its factorization.

411005541200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84781 (or 84770 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The spelling of 411005541200 in words is "four hundred eleven billion, five million, five hundred forty-one thousand, two hundred".