334144041413202 has 128 divisors (see below), whose sum is σ = 775870280640000. Its totient is φ = 106395230177280.

The previous prime is 334144041413167. The next prime is 334144041413207. The reversal of 334144041413202 is 202314140441433.

334144041413202 is a `hidden beast` number, since 3 + 3 + 4 + 1 + 4 + 404 + 1 + 41 + 3 + 202 = 666.

It is a super-2 number, since 2×334144041413202² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334144041413207) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10491492174 + ... + 10491524022.

It is an arithmetic number, because the mean of its divisors is an integer number (6061486567500).

Almost surely, 2^{334144041413202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334144041413202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387935140320000).

334144041413202 is an abundant number, since it is smaller than the sum of its proper divisors (441726239226798).

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

334144041413202 is a wasteful number, since it uses less digits than its factorization.

334144041413202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42993 (or 42987 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 334144041413202 its reverse (202314140441433), we get a palindrome (536458181854635).

The spelling of 334144041413202 in words is "three hundred thirty-four trillion, one hundred forty-four billion, forty-one million, four hundred thirteen thousand, two hundred two".