441223131312 has 200 divisors, whose sum is σ = 1301476968000. Its totient is φ = 144282498048.

The previous prime is 441223131299. The next prime is 441223131317. The reversal of 441223131312 is 213131322144.

441223131312 is a `hidden beast` number, since 4 + 412 + 231 + 3 + 1 + 3 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (441223131317) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16060564 + ... + 16088012.

It is an arithmetic number, because the mean of its divisors is an integer number (6507384840).

Almost surely, 2^441223131312 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 441223131312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650738484000).

441223131312 is an abundant number, since it is smaller than the sum of its proper divisors (860253836688).

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

441223131312 is a wasteful number, since it uses less digits than its factorization.

441223131312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27705 (or 27690 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 441223131312 its reverse (213131322144), we get a palindrome (654354453456).

The spelling of 441223131312 in words is "four hundred forty-one billion, two hundred twenty-three million, one hundred thirty-one thousand, three hundred twelve".