344142140024241 has 160 divisors (see below), whose sum is σ = 560731617600000. Its totient is φ = 209084296937472.

The previous prime is 344142140024233. The next prime is 344142140024273. The reversal of 344142140024241 is 142420041241443.

344142140024241 is a `hidden beast` number, since 3 + 4 + 4 + 1 + 4 + 2 + 1 + 400 + 2 + 4 + 241 = 666.

It is not a de Polignac number, because 344142140024241 - 2³ = 344142140024233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 344142140024196 and 344142140024205.

It is not an unprimeable number, because it can be changed into a prime (344142140029241) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 33189515505 + ... + 33189525873.

It is an arithmetic number, because the mean of its divisors is an integer number (3504572610000).

Almost surely, 2^{344142140024241} is an apocalyptic number.

It is an amenable number.

344142140024241 is a deficient number, since it is larger than the sum of its proper divisors (216589477575759).

344142140024241 is a wasteful number, since it uses less digits than its factorization.

344142140024241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11805 (or 11796 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 344142140024241 its reverse (142420041241443), we get a palindrome (486562181265684).

The spelling of 344142140024241 in words is "three hundred forty-four trillion, one hundred forty-two billion, one hundred forty million, twenty-four thousand, two hundred forty-one".