241185304200896 has 112 divisors (see below), whose sum is σ = 545079133278720. Its totient is φ = 104811732664320.

The previous prime is 241185304200853. The next prime is 241185304200913. The reversal of 241185304200896 is 698002403581142.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29362880 + ... + 36668096.

Almost surely, 2^{241185304200896} 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 241185304200896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272539566639360).

241185304200896 is an abundant number, since it is smaller than the sum of its proper divisors (303893829077824).

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

241185304200896 is a wasteful number, since it uses less digits than its factorization.

241185304200896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7307302 (or 7307292 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 53.

The spelling of 241185304200896 in words is "two hundred forty-one trillion, one hundred eighty-five billion, three hundred four million, two hundred thousand, eight hundred ninety-six".