241612114320 has 240 divisors, whose sum is σ = 827823539712. Its totient is φ = 63136972800.

The previous prime is 241612114243. The next prime is 241612114327. The reversal of 241612114320 is 23411216142.

241612114320 is a `hidden beast` number, since 2 + 4 + 1 + 612 + 1 + 1 + 43 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (241612114327) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 9297345 + ... + 9323295.

Almost surely, 2^241612114320 is an apocalyptic number.

241612114320 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 241612114320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413911769856).

241612114320 is an abundant number, since it is smaller than the sum of its proper divisors (586211425392).

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

241612114320 is a wasteful number, since it uses less digits than its factorization.

241612114320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26230 (or 26221 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 241612114320 in words is "two hundred forty-one billion, six hundred twelve million, one hundred fourteen thousand, three hundred twenty".