241228107120384 has 720 divisors, whose sum is σ = 738388572028800. Its totient is φ = 78308839784448.

The previous prime is 241228107120271. The next prime is 241228107120443. The reversal of 241228107120384 is 483021701822142.

241228107120384 is a `hidden beast` number, since 2 + 4 + 122 + 81 + 0 + 71 + 2 + 0 + 384 = 666.

241228107120384 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 50371287462 + ... + 50371292250.

Almost surely, 2^{241228107120384} is an apocalyptic number.

241228107120384 is a gapful number since it is divisible by the number (24) 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 241228107120384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369194286014400).

241228107120384 is an abundant number, since it is smaller than the sum of its proper divisors (497160464908416).

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

241228107120384 is an equidigital number, since it uses as much as digits as its factorization.

241228107120384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5310 (or 5287 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 241228107120384 in words is "two hundred forty-one trillion, two hundred twenty-eight billion, one hundred seven million, one hundred twenty thousand, three hundred eighty-four".