241313765000 has 320 divisors, whose sum is σ = 727687065600. Its totient is φ = 72784800000.

The previous prime is 241313764943. The next prime is 241313765009. The reversal of 241313765000 is 567313142.

It is not an unprimeable number, because it can be changed into a prime (241313765009) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11924891 + ... + 11945109.

It is an arithmetic number, because the mean of its divisors is an integer number (2274022080).

Almost surely, 2^241313765000 is an apocalyptic number.

241313765000 is a gapful number since it is divisible by the number (20) 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 241313765000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363843532800).

241313765000 is an abundant number, since it is smaller than the sum of its proper divisors (486373300600).

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

241313765000 is a wasteful number, since it uses less digits than its factorization.

241313765000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20294 (or 20275 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The spelling of 241313765000 in words is "two hundred forty-one billion, three hundred thirteen million, seven hundred sixty-five thousand".