4241404340334 has 192 divisors, whose sum is σ = 11554990433280. Its totient is φ = 1129226598720.

The previous prime is 4241404340323. The next prime is 4241404340347. The reversal of 4241404340334 is 4330434041424.

4241404340334 is a `hidden beast` number, since 4 + 241 + 4 + 0 + 4 + 3 + 403 + 3 + 4 = 666.

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 95 ways as a sum of consecutive naturals, for example, 8069167 + ... + 8578709.

It is an arithmetic number, because the mean of its divisors is an integer number (60182241840).

Almost surely, 2^{4241404340334} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4241404340334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5777495216640).

4241404340334 is an abundant number, since it is smaller than the sum of its proper divisors (7313586092946).

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

4241404340334 is a wasteful number, since it uses less digits than its factorization.

4241404340334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509660 (or 509635 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 4241404340334 its reverse (4330434041424), we get a palindrome (8571838381758).

The spelling of 4241404340334 in words is "four trillion, two hundred forty-one billion, four hundred four million, three hundred forty thousand, three hundred thirty-four".