241335534240240 has 480 divisors, whose sum is σ = 827133150881856. Its totient is φ = 58164480000000.

The previous prime is 241335534240221. The next prime is 241335534240293. The reversal of 241335534240240 is 42042435533142.

It is a junction number, because it is equal to n+sod(n) for n = 241335534240192 and 241335534240201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26812075740 + ... + 26812084740.

Almost surely, 2^{241335534240240} is an apocalyptic number.

241335534240240 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 241335534240240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413566575440928).

241335534240240 is an abundant number, since it is smaller than the sum of its proper divisors (585797616641616).

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

241335534240240 is a wasteful number, since it uses less digits than its factorization.

241335534240240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14321 (or 14304 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 42.

Adding to 241335534240240 its reverse (42042435533142), we get a palindrome (283377969773382).

The spelling of 241335534240240 in words is "two hundred forty-one trillion, three hundred thirty-five billion, five hundred thirty-four million, two hundred forty thousand, two hundred forty".