3401235333441 has 72 divisors (see below), whose sum is σ = 5814692563680. Its totient is φ = 1907214946560.

The previous prime is 3401235333439. The next prime is 3401235333443. The reversal of 3401235333441 is 1443335321043.

3401235333441 is a `hidden beast` number, since 3 + 40 + 12 + 3 + 533 + 34 + 41 = 666.

It is an interprime number because it is at equal distance from previous prime (3401235333439) and next prime (3401235333443).

It is not a de Polignac number, because 3401235333441 - 2¹ = 3401235333439 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3401235333396 and 3401235333405.

It is not an unprimeable number, because it can be changed into a prime (3401235333443) 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 71 ways as a sum of consecutive naturals, for example, 464695 + ... + 2649228.

It is an arithmetic number, because the mean of its divisors is an integer number (80759618940).

Almost surely, 2^{3401235333441} is an apocalyptic number.

It is an amenable number.

3401235333441 is a deficient number, since it is larger than the sum of its proper divisors (2413457230239).

3401235333441 is a wasteful number, since it uses less digits than its factorization.

3401235333441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3114027 (or 3114013 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The spelling of 3401235333441 in words is "three trillion, four hundred one billion, two hundred thirty-five million, three hundred thirty-three thousand, four hundred forty-one".