241540918231068 has 288 divisors, whose sum is σ = 652515777950400. Its totient is φ = 78069608718336.

The previous prime is 241540918231037. The next prime is 241540918231147. The reversal of 241540918231068 is 860132819045142.

241540918231068 is a `hidden beast` number, since 2 + 4 + 1 + 540 + 9 + 1 + 8 + 2 + 31 + 0 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16136068288 + ... + 16136083256.

It is an arithmetic number, because the mean of its divisors is an integer number (2265679784550).

Almost surely, 2^{241540918231068} 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 241540918231068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326257888975200).

241540918231068 is an abundant number, since it is smaller than the sum of its proper divisors (410974859719332).

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

241540918231068 is a wasteful number, since it uses less digits than its factorization.

241540918231068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16531 (or 16517 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 241540918231068 in words is "two hundred forty-one trillion, five hundred forty billion, nine hundred eighteen million, two hundred thirty-one thousand, sixty-eight".