241344010240104 has 512 divisors, whose sum is σ = 669965398041600. Its totient is φ = 72145195499520.

The previous prime is 241344010240093. The next prime is 241344010240141. The reversal of 241344010240104 is 401042010443142.

It is a happy number.

241344010240104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 135358389597 + ... + 135358391379.

It is an arithmetic number, because the mean of its divisors is an integer number (1308526168050).

Almost surely, 2^{241344010240104} is an apocalyptic number.

241344010240104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241344010240104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334982699020800).

241344010240104 is an abundant number, since it is smaller than the sum of its proper divisors (428621387801496).

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

241344010240104 is a wasteful number, since it uses less digits than its factorization.

241344010240104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3165 (or 3161 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 241344010240104 its reverse (401042010443142), we get a palindrome (642386020683246).

The spelling of 241344010240104 in words is "two hundred forty-one trillion, three hundred forty-four billion, ten million, two hundred forty thousand, one hundred four".