6341444441436 has 96 divisors (see below), whose sum is σ = 15981867095040. Its totient is φ = 1945466839296.

The previous prime is 6341444441279. The next prime is 6341444441441.

6341444441436 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259680835 + ... + 259705253.

It is an arithmetic number, because the mean of its divisors is an integer number (166477782240).

Almost surely, 2^{6341444441436} 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 6341444441436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7990933547520).

6341444441436 is an abundant number, since it is smaller than the sum of its proper divisors (9640422653604).

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

6341444441436 is a wasteful number, since it uses less digits than its factorization.

6341444441436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29275 (or 29273 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 48.

The spelling of 6341444441436 in words is "six trillion, three hundred forty-one billion, four hundred forty-four million, four hundred forty-one thousand, four hundred thirty-six".