6418441341312 has 1536 divisors, whose sum is σ = 23739568128000. Its totient is φ = 1491465830400.

The previous prime is 6418441341259. The next prime is 6418441341313. The reversal of 6418441341312 is 2131431448146.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 (6418441341313) 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 191 ways as a sum of consecutive naturals, for example, 28028128014 + ... + 28028128242.

It is an arithmetic number, because the mean of its divisors is an integer number (15455448000).

Almost surely, 2^{6418441341312} 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 6418441341312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11869784064000).

6418441341312 is an abundant number, since it is smaller than the sum of its proper divisors (17321126786688).

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

6418441341312 is a wasteful number, since it uses less digits than its factorization.

6418441341312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 415 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

Adding to 6418441341312 its reverse (2131431448146), we get a palindrome (8549872789458).

The spelling of 6418441341312 in words is "six trillion, four hundred eighteen billion, four hundred forty-one million, three hundred forty-one thousand, three hundred twelve".