411144204312 has 192 divisors, whose sum is σ = 1186058764800. Its totient is φ = 128296742400.

The previous prime is 411144204283. The next prime is 411144204319. The reversal of 411144204312 is 213402441114.

411144204312 is a `hidden beast` number, since 4 + 1 + 1 + 144 + 204 + 312 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411144204319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70871812 + ... + 70877612.

It is an arithmetic number, because the mean of its divisors is an integer number (6177389400).

Almost surely, 2^411144204312 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 411144204312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593029382400).

411144204312 is an abundant number, since it is smaller than the sum of its proper divisors (774914560488).

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

411144204312 is a wasteful number, since it uses less digits than its factorization.

411144204312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6438 (or 6431 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 411144204312 its reverse (213402441114), we get a palindrome (624546645426).

The spelling of 411144204312 in words is "four hundred eleven billion, one hundred forty-four million, two hundred four thousand, three hundred twelve".