341241133200144 has 320 divisors, whose sum is σ = 903868668702720. Its totient is φ = 110908576235520.

The previous prime is 341241133200091. The next prime is 341241133200257. The reversal of 341241133200144 is 441002331142143.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 249627748549 + ... + 249627749915.

It is an arithmetic number, because the mean of its divisors is an integer number (2824589589696).

Almost surely, 2^{341241133200144} 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 341241133200144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451934334351360).

341241133200144 is an abundant number, since it is smaller than the sum of its proper divisors (562627535502576).

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

341241133200144 is a wasteful number, since it uses less digits than its factorization.

341241133200144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3238 (or 3232 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 341241133200144 its reverse (441002331142143), we get a palindrome (782243464342287).

The spelling of 341241133200144 in words is "three hundred forty-one trillion, two hundred forty-one billion, one hundred thirty-three million, two hundred thousand, one hundred forty-four".