241418220736 has 672 divisors, whose sum is σ = 693498516480. Its totient is φ = 81904435200.

The previous prime is 241418220733. The next prime is 241418220739. The reversal of 241418220736 is 637022814142.

It is an interprime number because it is at equal distance from previous prime (241418220733) and next prime (241418220739).

It is not an unprimeable number, because it can be changed into a prime (241418220731) 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 95 ways as a sum of consecutive naturals, for example, 523683546 + ... + 523684006.

It is an arithmetic number, because the mean of its divisors is an integer number (1031991840).

Almost surely, 2^241418220736 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 241418220736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346749258240).

241418220736 is an abundant number, since it is smaller than the sum of its proper divisors (452080295744).

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

241418220736 is a wasteful number, since it uses less digits than its factorization.

241418220736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The spelling of 241418220736 in words is "two hundred forty-one billion, four hundred eighteen million, two hundred twenty thousand, seven hundred thirty-six".