241058580551104 has 224 divisors, whose sum is σ = 542469950668800. Its totient is φ = 105678012718080.

The previous prime is 241058580551029. The next prime is 241058580551177. The reversal of 241058580551104 is 401155085850142.

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 31 ways as a sum of consecutive naturals, for example, 5242774387 + ... + 5242820365.

It is an arithmetic number, because the mean of its divisors is an integer number (2421740851200).

Almost surely, 2^{241058580551104} 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 241058580551104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271234975334400).

241058580551104 is an abundant number, since it is smaller than the sum of its proper divisors (301411370117696).

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

241058580551104 is a wasteful number, since it uses less digits than its factorization.

241058580551104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52111 (or 52101 counting only the distinct ones).

The product of its (nonzero) digits is 1280000, while the sum is 49.

The spelling of 241058580551104 in words is "two hundred forty-one trillion, fifty-eight billion, five hundred eighty million, five hundred fifty-one thousand, one hundred four".