241368367104 has 340 divisors, whose sum is σ = 739374132420. Its totient is φ = 78422999040.

The previous prime is 241368367103. The next prime is 241368367117. The reversal of 241368367104 is 401763863142.

241368367104 is a `hidden beast` number, since 241 + 36 + 8 + 367 + 10 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7267221504 + 234101145600 = 85248^2 + 483840^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 241368367104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241368367103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 217644502 + ... + 217645610.

Almost surely, 2^241368367104 is an apocalyptic number.

241368367104 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 241368367104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369687066210).

241368367104 is an abundant number, since it is smaller than the sum of its proper divisors (498005765316).

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

241368367104 is an frugal number, since it uses more digits than its factorization.

241368367104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 241368367104 in words is "two hundred forty-one billion, three hundred sixty-eight million, three hundred sixty-seven thousand, one hundred four".