241188358040448 has 3072 divisors, whose sum is σ = 898447334400000. Its totient is φ = 55620760043520.

The previous prime is 241188358040447. The next prime is 241188358040459. The reversal of 241188358040448 is 844040853881142.

It is a junction number, because it is equal to n+sod(n) for n = 241188358040391 and 241188358040400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241188358040447) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 1618713812278 + ... + 1618713812426.

It is an arithmetic number, because the mean of its divisors is an integer number (292463325000).

Almost surely, 2^{241188358040448} is an apocalyptic number.

241188358040448 is a gapful number since it is divisible by the number (28) 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 241188358040448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449223667200000).

241188358040448 is an abundant number, since it is smaller than the sum of its proper divisors (657258976359552).

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

241188358040448 is a wasteful number, since it uses less digits than its factorization.

241188358040448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 31457280, while the sum is 60.

The spelling of 241188358040448 in words is "two hundred forty-one trillion, one hundred eighty-eight billion, three hundred fifty-eight million, forty thousand, four hundred forty-eight".