241390216704 has 1280 divisors, whose sum is σ = 902822215680. Its totient is φ = 55490641920.

The previous prime is 241390216703. The next prime is 241390216709. The reversal of 241390216704 is 407612093142.

241390216704 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241390216703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2136196552 + ... + 2136196664.

It is an arithmetic number, because the mean of its divisors is an integer number (705329856).

Almost surely, 2^241390216704 is an apocalyptic number.

241390216704 is a gapful number since it is divisible by the number (24) 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 241390216704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451411107840).

241390216704 is an abundant number, since it is smaller than the sum of its proper divisors (661431998976).

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

241390216704 is a wasteful number, since it uses less digits than its factorization.

241390216704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 241390216704 in words is "two hundred forty-one billion, three hundred ninety million, two hundred sixteen thousand, seven hundred four".