3322142410401 has 12 divisors (see below), whose sum is σ = 4798724022612. Its totient is φ = 2214727511136.

The previous prime is 3322142410399. The next prime is 3322142410421. The reversal of 3322142410401 is 1040142412233.

3322142410401 is a `hidden beast` number, since 3 + 3 + 2 + 2 + 14 + 241 + 0 + 401 = 666.

3322142410401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1150468614801 + 2171673795600 = 1072599^2 + 1473660^2 .

It is not a de Polignac number, because 3322142410401 - 2¹ = 3322142410399 is a prime.

It is a super-2 number, since 2×3322142410401² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3322142410421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2217006 + ... + 3399911.

It is an arithmetic number, because the mean of its divisors is an integer number (399893668551).

Almost surely, 2^{3322142410401} is an apocalyptic number.

It is an amenable number.

3322142410401 is a deficient number, since it is larger than the sum of its proper divisors (1476581612211).

3322142410401 is a wasteful number, since it uses less digits than its factorization.

3322142410401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5682640 (or 5682637 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 3322142410401 its reverse (1040142412233), we get a palindrome (4362284822634).

The spelling of 3322142410401 in words is "three trillion, three hundred twenty-two billion, one hundred forty-two million, four hundred ten thousand, four hundred one".