241871105952 has 288 divisors, whose sum is σ = 828884085120. Its totient is φ = 65355724800.

The previous prime is 241871105939. The next prime is 241871105981. The reversal of 241871105952 is 259501178142.

241871105952 is a `hidden beast` number, since 2 + 41 + 8 + 7 + 1 + 10 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 241871105898 and 241871105907.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23475202 + ... + 23485502.

It is an arithmetic number, because the mean of its divisors is an integer number (2878069740).

Almost surely, 2^241871105952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241871105952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414442042560).

241871105952 is an abundant number, since it is smaller than the sum of its proper divisors (587012979168).

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

241871105952 is a wasteful number, since it uses less digits than its factorization.

241871105952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10956 (or 10945 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 241871105952 in words is "two hundred forty-one billion, eight hundred seventy-one million, one hundred five thousand, nine hundred fifty-two".