241256767652142 has 48 divisors (see below), whose sum is σ = 530371473811536. Its totient is φ = 73107373046400.

The previous prime is 241256767652101. The next prime is 241256767652179.

241256767652142 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72512808 + ... + 75766884.

It is an arithmetic number, because the mean of its divisors is an integer number (11049405704407).

Almost surely, 2^{241256767652142} is an apocalyptic number.

241256767652142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

241256767652142 is an abundant number, since it is smaller than the sum of its proper divisors (289114706159394).

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

241256767652142 is a wasteful number, since it uses less digits than its factorization.

241256767652142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3356225 (or 3356214 counting only the distinct ones).

The product of its digits is 67737600, while the sum is 60.

The spelling of 241256767652142 in words is "two hundred forty-one trillion, two hundred fifty-six billion, seven hundred sixty-seven million, six hundred fifty-two thousand, one hundred forty-two".