241144444234134 has 384 divisors, whose sum is σ = 646523523809280. Its totient is φ = 63437424019200.

The previous prime is 241144444234129. The next prime is 241144444234219. The reversal of 241144444234134 is 431432444441142.

241144444234134 is a `hidden beast` number, since 2 + 4 + 1 + 1 + 4 + 44 + 442 + 34 + 134 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 241144444234134.

It is a congruent 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 191 ways as a sum of consecutive naturals, for example, 61657999639 + ... + 61658003549.

It is an arithmetic number, because the mean of its divisors is an integer number (1683655009920).

Almost surely, 2^{241144444234134} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241144444234134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323261761904640).

241144444234134 is an abundant number, since it is smaller than the sum of its proper divisors (405379079575146).

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

241144444234134 is a wasteful number, since it uses less digits than its factorization.

241144444234134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6016 (or 6013 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 45.

Adding to 241144444234134 its reverse (431432444441142), we get a palindrome (672576888675276).

The spelling of 241144444234134 in words is "two hundred forty-one trillion, one hundred forty-four billion, four hundred forty-four million, two hundred thirty-four thousand, one hundred thirty-four".