241338346560 has 672 divisors, whose sum is σ = 910654617600. Its totient is φ = 60667729920.

The previous prime is 241338346549. The next prime is 241338346567. The reversal of 241338346560 is 65643833142.

241338346560 is a `hidden beast` number, since 2 + 4 + 1 + 3 + 3 + 83 + 4 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (241338346567) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 559949545 + ... + 559949975.

It is an arithmetic number, because the mean of its divisors is an integer number (1355140800).

Almost surely, 2^241338346560 is an apocalyptic number.

241338346560 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 241338346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455327308800).

241338346560 is an abundant number, since it is smaller than the sum of its proper divisors (669316271040).

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

241338346560 is a wasteful number, since it uses less digits than its factorization.

241338346560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 241338346560 in words is "two hundred forty-one billion, three hundred thirty-eight million, three hundred forty-six thousand, five hundred sixty".