241253405442240 has 448 divisors, whose sum is σ = 826514897518080. Its totient is φ = 59394834104320.

The previous prime is 241253405442239. The next prime is 241253405442307. The reversal of 241253405442240 is 42244504352142.

It is a junction number, because it is equal to n+sod(n) for n = 241253405442192 and 241253405442201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4472681191 + ... + 4472735129.

Almost surely, 2^{241253405442240} is an apocalyptic number.

241253405442240 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 241253405442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413257448759040).

241253405442240 is an abundant number, since it is smaller than the sum of its proper divisors (585261492075840).

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

241253405442240 is a wasteful number, since it uses less digits than its factorization.

241253405442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59200 (or 59190 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 42.

Adding to 241253405442240 its reverse (42244504352142), we get a palindrome (283497909794382).

The spelling of 241253405442240 in words is "two hundred forty-one trillion, two hundred fifty-three billion, four hundred five million, four hundred forty-two thousand, two hundred forty".