241411233504240 has 480 divisors, whose sum is σ = 855848966356800. Its totient is φ = 60814043136000.

The previous prime is 241411233504229. The next prime is 241411233504253. The reversal of 241411233504240 is 42405332114142.

241411233504240 is a `hidden beast` number, since 2 + 4 + 1 + 4 + 1 + 123 + 3 + 504 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 241411233504195 and 241411233504204.

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, 6997206990 + ... + 6997241490.

It is an arithmetic number, because the mean of its divisors is an integer number (1783018679910).

Almost surely, 2^{241411233504240} is an apocalyptic number.

241411233504240 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 241411233504240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427924483178400).

241411233504240 is an abundant number, since it is smaller than the sum of its proper divisors (614437732852560).

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

241411233504240 is a wasteful number, since it uses less digits than its factorization.

241411233504240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35985 (or 35976 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 241411233504240 its reverse (42405332114142), we get a palindrome (283816565618382).

The spelling of 241411233504240 in words is "two hundred forty-one trillion, four hundred eleven billion, two hundred thirty-three million, five hundred four thousand, two hundred forty".