241668306000 has 640 divisors, whose sum is σ = 947639347200. Its totient is φ = 58386240000.

The previous prime is 241668305987. The next prime is 241668306041. The reversal of 241668306000 is 603866142.

241668306000 is a `hidden beast` number, since 2 + 4 + 16 + 6 + 8 + 30 + 600 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 248885515 + ... + 248886485.

It is an arithmetic number, because the mean of its divisors is an integer number (1480686480).

Almost surely, 2^241668306000 is an apocalyptic number.

241668306000 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 241668306000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473819673600).

241668306000 is an abundant number, since it is smaller than the sum of its proper divisors (705971041200).

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

241668306000 is a wasteful number, since it uses less digits than its factorization.

241668306000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433 (or 1411 counting only the distinct ones).

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

The spelling of 241668306000 in words is "two hundred forty-one billion, six hundred sixty-eight million, three hundred six thousand".