241565560704 has 576 divisors, whose sum is σ = 786998131920. Its totient is φ = 71022182400.

The previous prime is 241565560703. The next prime is 241565560721. The reversal of 241565560704 is 407065565142.

241565560704 is a `hidden beast` number, since 2 + 4 + 15 + 6 + 5 + 560 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 241565560704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241565560703) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 423056739 + ... + 423057309.

Almost surely, 2^241565560704 is an apocalyptic number.

241565560704 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 241565560704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393499065960).

241565560704 is an abundant number, since it is smaller than the sum of its proper divisors (545432571216).

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

241565560704 is a wasteful number, since it uses less digits than its factorization.

241565560704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 241565560704 in words is "two hundred forty-one billion, five hundred sixty-five million, five hundred sixty thousand, seven hundred four".