241213010234560 has 224 divisors, whose sum is σ = 726046149225600. Its totient is φ = 74276699701248.

The previous prime is 241213010234549. The next prime is 241213010234579. The reversal of 241213010234560 is 65432010312142.

It is a tau number, because it is divible by the number of its divisors (224).

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, 110860585 + ... + 113015464.

It is an arithmetic number, because the mean of its divisors is an integer number (3241277451900).

Almost surely, 2^{241213010234560} is an apocalyptic number.

241213010234560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241213010234560 is an abundant number, since it is smaller than the sum of its proper divisors (484833138991040).

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

241213010234560 is a wasteful number, since it uses less digits than its factorization.

241213010234560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223876123 (or 223876113 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 241213010234560 in words is "two hundred forty-one trillion, two hundred thirteen billion, ten million, two hundred thirty-four thousand, five hundred sixty".