241213332003840 has 1056 divisors, whose sum is σ = 998302585752576. Its totient is φ = 52654013153280.

The previous prime is 241213332003797. The next prime is 241213332003877. The reversal of 241213332003840 is 48300233312142.

241213332003840 is a `hidden beast` number, since 2 + 41 + 2 + 1 + 3 + 33 + 200 + 384 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 241213332003795 and 241213332003804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4755476719 + ... + 4755527441.

Almost surely, 2^{241213332003840} is an apocalyptic number.

241213332003840 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 241213332003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499151292876288).

241213332003840 is an abundant number, since it is smaller than the sum of its proper divisors (757089253748736).

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

241213332003840 is a wasteful number, since it uses less digits than its factorization.

241213332003840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51425 (or 51404 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 241213332003840 its reverse (48300233312142), we get a palindrome (289513565315982).

The spelling of 241213332003840 in words is "two hundred forty-one trillion, two hundred thirteen billion, three hundred thirty-two million, three thousand, eight hundred forty".