241340396064768 has 5616 divisors, whose sum is σ = 1049118724687488. Its totient is φ = 53919704678400.

The previous prime is 241340396064739. The next prime is 241340396064797. The reversal of 241340396064768 is 867460693043142.

241340396064768 is a `hidden beast` number, since 2 + 4 + 13 + 4 + 0 + 3 + 9 + 606 + 4 + 7 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (241340396064739) and next prime (241340396064797).

It is a tau number, because it is divible by the number of its divisors (5616).

It is a super-3 number, since 3×241340396064768³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 431 ways as a sum of consecutive naturals, for example, 3956399935458 + ... + 3956399935518.

Almost surely, 2^{241340396064768} is an apocalyptic number.

241340396064768 is a gapful number since it is divisible by the number (28) 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 241340396064768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524559362343744).

241340396064768 is an abundant number, since it is smaller than the sum of its proper divisors (807778328622720).

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

241340396064768 is a wasteful number, since it uses less digits than its factorization.

241340396064768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 63.

The spelling of 241340396064768 in words is "two hundred forty-one trillion, three hundred forty billion, three hundred ninety-six million, sixty-four thousand, seven hundred sixty-eight".