4013043402321 has 16 divisors (see below), whose sum is σ = 6203738593920. Its totient is φ = 2559042169200.

The previous prime is 4013043402281. The next prime is 4013043402337. The reversal of 4013043402321 is 1232043403104.

4013043402321 is a `hidden beast` number, since 4 + 0 + 1 + 304 + 34 + 0 + 2 + 321 = 666.

It is not a de Polignac number, because 4013043402321 - 2³⁸ = 3738165495377 is a prime.

It is a super-2 number, since 2×4013043402321² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4013043402821) 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 15 ways as a sum of consecutive naturals, for example, 3231113230 + ... + 3231114471.

It is an arithmetic number, because the mean of its divisors is an integer number (387733662120).

Almost surely, 2^{4013043402321} is an apocalyptic number.

It is an amenable number.

4013043402321 is a deficient number, since it is larger than the sum of its proper divisors (2190695191599).

4013043402321 is a wasteful number, since it uses less digits than its factorization.

4013043402321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6462227733 (or 6462227727 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 4013043402321 its reverse (1232043403104), we get a palindrome (5245086805425).

The spelling of 4013043402321 in words is "four trillion, thirteen billion, forty-three million, four hundred two thousand, three hundred twenty-one".