243971441569440 has 3456 divisors, whose sum is σ = 1017017929654272. Its totient is φ = 52821340323840.

The previous prime is 243971441569439. The next prime is 243971441569441. The reversal of 243971441569440 is 44965144179342.

It is a happy number.

243971441569440 is a `hidden beast` number, since 2 + 4 + 3 + 97 + 1 + 4 + 41 + 5 + 69 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (243971441569439) and next prime (243971441569441).

It is not an unprimeable number, because it can be changed into a prime (243971441569441) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 533854357692 + ... + 533854358148.

It is an arithmetic number, because the mean of its divisors is an integer number (294276021312).

Almost surely, 2^{243971441569440} is an apocalyptic number.

243971441569440 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 243971441569440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508508964827136).

243971441569440 is an abundant number, since it is smaller than the sum of its proper divisors (773046488084832).

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

243971441569440 is a wasteful number, since it uses less digits than its factorization.

243971441569440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 243971441569440 in words is "two hundred forty-three trillion, nine hundred seventy-one billion, four hundred forty-one million, five hundred sixty-nine thousand, four hundred forty".