3401220201401 has 16 divisors (see below), whose sum is σ = 3929317257600. Its totient is φ = 2909664487680.

The previous prime is 3401220201383. The next prime is 3401220201419. The reversal of 3401220201401 is 1041020221043.

It is an interprime number because it is at equal distance from previous prime (3401220201383) and next prime (3401220201419).

It is a cyclic number.

It is not a de Polignac number, because 3401220201401 - 2²⁶ = 3401153092537 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3401220201451) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 307826 + ... + 2626251.

It is an arithmetic number, because the mean of its divisors is an integer number (245582328600).

Almost surely, 2^{3401220201401} is an apocalyptic number.

It is an amenable number.

3401220201401 is a deficient number, since it is larger than the sum of its proper divisors (528097056199).

3401220201401 is a wasteful number, since it uses less digits than its factorization.

3401220201401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2940304.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 3401220201401 its reverse (1041020221043), we get a palindrome (4442240422444).

The spelling of 3401220201401 in words is "three trillion, four hundred one billion, two hundred twenty million, two hundred one thousand, four hundred one".