241342734916800 has 504 divisors, whose sum is σ = 935830790696880. Its totient is φ = 58503521894400.

The previous prime is 241342734916667. The next prime is 241342734916813. The reversal of 241342734916800 is 8619437243142.

241342734916800 is a `hidden beast` number, since 2 + 4 + 1 + 3 + 4 + 2 + 73 + 491 + 6 + 80 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3010985524 + ... + 3011065676.

Almost surely, 2^{241342734916800} is an apocalyptic number.

241342734916800 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 241342734916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467915395348440).

241342734916800 is an abundant number, since it is smaller than the sum of its proper divisors (694488055780080).

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

241342734916800 is a wasteful number, since it uses less digits than its factorization.

241342734916800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99201 (or 99183 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 241342734916800 in words is "two hundred forty-one trillion, three hundred forty-two billion, seven hundred thirty-four million, nine hundred sixteen thousand, eight hundred".