3412001024001 has 12 divisors (see below), whose sum is σ = 4928782091220. Its totient is φ = 2274512195040.

The previous prime is 3412001023901. The next prime is 3412001024017. The reversal of 3412001024001 is 1004201002143.

3412001024001 is a `hidden beast` number, since 3 + 412 + 0 + 0 + 10 + 240 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1868691734001 + 1543309290000 = 1367001^2 + 1242300^2 .

It is not a de Polignac number, because 3412001024001 - 2⁹ = 3412001023489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3412001024071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12790170 + ... + 13054211.

It is an arithmetic number, because the mean of its divisors is an integer number (410731840935).

Almost surely, 2^{3412001024001} is an apocalyptic number.

It is an amenable number.

3412001024001 is a deficient number, since it is larger than the sum of its proper divisors (1516781067219).

3412001024001 is a wasteful number, since it uses less digits than its factorization.

3412001024001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25859056 (or 25859053 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 3412001024001 its reverse (1004201002143), we get a palindrome (4416202026144).

The spelling of 3412001024001 in words is "three trillion, four hundred twelve billion, one million, twenty-four thousand, one".