241652728800 has 864 divisors, whose sum is σ = 1043061364800. Its totient is φ = 51385466880.

The previous prime is 241652728781. The next prime is 241652728843. The reversal of 241652728800 is 8827256142.

241652728800 is a `hidden beast` number, since 2 + 41 + 6 + 527 + 2 + 8 + 80 + 0 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 76253616 + ... + 76256784.

It is an arithmetic number, because the mean of its divisors is an integer number (1207246950).

Almost surely, 2^241652728800 is an apocalyptic number.

241652728800 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 241652728800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521530682400).

241652728800 is an abundant number, since it is smaller than the sum of its proper divisors (801408636000).

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

241652728800 is a wasteful number, since it uses less digits than its factorization.

241652728800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3308 (or 3292 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 241652728800 in words is "two hundred forty-one billion, six hundred fifty-two million, seven hundred twenty-eight thousand, eight hundred".