241505850408368 has 320 divisors, whose sum is σ = 595575566057472. Its totient is φ = 92325494338560.

The previous prime is 241505850408343. The next prime is 241505850408371. The reversal of 241505850408368 is 863804058505142.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7035431621 + ... + 7035465947.

Almost surely, 2^{241505850408368} is an apocalyptic number.

241505850408368 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 241505850408368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297787783028736).

241505850408368 is an abundant number, since it is smaller than the sum of its proper divisors (354069715649104).

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

241505850408368 is a wasteful number, since it uses less digits than its factorization.

241505850408368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35592 (or 35586 counting only the distinct ones).

The product of its (nonzero) digits is 36864000, while the sum is 59.

The spelling of 241505850408368 in words is "two hundred forty-one trillion, five hundred five billion, eight hundred fifty million, four hundred eight thousand, three hundred sixty-eight".