241601368320 has 432 divisors, whose sum is σ = 902472807600. Its totient is φ = 59322138624.

The previous prime is 241601368313. The next prime is 241601368321. The reversal of 241601368320 is 23863106142.

241601368320 is a `hidden beast` number, since 2 + 41 + 601 + 3 + 6 + 8 + 3 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 21587837184 + 220013531136 = 146928^2 + 469056^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (241601368321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67240444 + ... + 67244036.

It is an arithmetic number, because the mean of its divisors is an integer number (2089057425).

Almost surely, 2^241601368320 is an apocalyptic number.

241601368320 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 241601368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451236403800).

241601368320 is an abundant number, since it is smaller than the sum of its proper divisors (660871439280).

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

241601368320 is a wasteful number, since it uses less digits than its factorization.

241601368320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4082 (or 4065 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 241601368320 in words is "two hundred forty-one billion, six hundred one million, three hundred sixty-eight thousand, three hundred twenty".