241285353120 has 1344 divisors, whose sum is σ = 1029910291200. Its totient is φ = 53331167232.

The previous prime is 241285353107. The next prime is 241285353151. The reversal of 241285353120 is 21353582142.

241285353120 is a `hidden beast` number, since 2 + 4 + 1 + 285 + 353 + 1 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1480278159 + ... + 1480278321.

It is an arithmetic number, because the mean of its divisors is an integer number (766302300).

Almost surely, 2^241285353120 is an apocalyptic number.

241285353120 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 241285353120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514955145600).

241285353120 is an abundant number, since it is smaller than the sum of its proper divisors (788624938080).

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

241285353120 is an equidigital number, since it uses as much as digits as its factorization.

241285353120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 241285353120 in words is "two hundred forty-one billion, two hundred eighty-five million, three hundred fifty-three thousand, one hundred twenty".