241326113305680 has 1920 divisors, whose sum is σ = 944803448709120. Its totient is φ = 54782773493760.

The previous prime is 241326113305639. The next prime is 241326113305699. The reversal of 241326113305680 is 86503311623142.

241326113305680 is a `hidden beast` number, since 2 + 4 + 1 + 3 + 261 + 1 + 3 + 305 + 6 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 68151964710 + ... + 68151968250.

It is an arithmetic number, because the mean of its divisors is an integer number (492085129536).

Almost surely, 2^{241326113305680} is an apocalyptic number.

241326113305680 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 241326113305680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472401724354560).

241326113305680 is an abundant number, since it is smaller than the sum of its proper divisors (703477335403440).

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

241326113305680 is a wasteful number, since it uses less digits than its factorization.

241326113305680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3789 (or 3780 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 241326113305680 in words is "two hundred forty-one trillion, three hundred twenty-six billion, one hundred thirteen million, three hundred five thousand, six hundred eighty".