4112413221312 has 168 divisors, whose sum is σ = 12867922529280. Its totient is φ = 1245328888320.

The previous prime is 4112413221289. The next prime is 4112413221313. The reversal of 4112413221312 is 2131223142114.

4112413221312 is a `hidden beast` number, since 4 + 1 + 1 + 24 + 1 + 322 + 1 + 312 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4112413221313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9021793 + ... + 9466655.

It is an arithmetic number, because the mean of its divisors is an integer number (76594776960).

Almost surely, 2^{4112413221312} 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 4112413221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6433961264640).

4112413221312 is an abundant number, since it is smaller than the sum of its proper divisors (8755509307968).

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

4112413221312 is a wasteful number, since it uses less digits than its factorization.

4112413221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446351 (or 446338 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 4112413221312 its reverse (2131223142114), we get a palindrome (6243636363426).

The spelling of 4112413221312 in words is "four trillion, one hundred twelve billion, four hundred thirteen million, two hundred twenty-one thousand, three hundred twelve".