241012410314144 has 72 divisors (see below), whose sum is σ = 561010006256868. Its totient is φ = 101597737328640.

The previous prime is 241012410314113. The next prime is 241012410314177. The reversal of 241012410314144 is 441413014210142.

It can be written as a sum of positive squares in 2 ways, for example, as 240944529222544 + 67881091600 = 15522388^2 + 260540^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 241012410314144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1259796929 + ... + 1259988224.

Almost surely, 2^{241012410314144} is an apocalyptic number.

It is an amenable number.

241012410314144 is an abundant number, since it is smaller than the sum of its proper divisors (319997595942724).

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

241012410314144 is a wasteful number, since it uses less digits than its factorization.

241012410314144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2519785238 (or 2519785223 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 241012410314144 its reverse (441413014210142), we get a palindrome (682425424524286).

The spelling of 241012410314144 in words is "two hundred forty-one trillion, twelve billion, four hundred ten million, three hundred fourteen thousand, one hundred forty-four".