241253302431141 has 576 divisors, whose sum is σ = 486754788409344. Its totient is φ = 113168830924800.

The previous prime is 241253302431103. The next prime is 241253302431151. The reversal of 241253302431141 is 141134203352142.

241253302431141 is a `hidden beast` number, since 2 + 4 + 1 + 2 + 5 + 330 + 2 + 4 + 311 + 4 + 1 = 666.

It is not a de Polignac number, because 241253302431141 - 2⁷ = 241253302431013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 241253302431096 and 241253302431105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241253302431101) 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, 202224058441 + ... + 202224059633.

It is an arithmetic number, because the mean of its divisors is an integer number (845060396544).

Almost surely, 2^{241253302431141} is an apocalyptic number.

241253302431141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

241253302431141 is an abundant number, since it is smaller than the sum of its proper divisors (245501485978203).

241253302431141 is a wasteful number, since it uses less digits than its factorization.

241253302431141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 241253302431141 its reverse (141134203352142), we get a palindrome (382387505783283).

The spelling of 241253302431141 in words is "two hundred forty-one trillion, two hundred fifty-three billion, three hundred two million, four hundred thirty-one thousand, one hundred forty-one".