4042400214321 has 24 divisors (see below), whose sum is σ = 6799077455040. Its totient is φ = 2266359147936.

The previous prime is 4042400214301. The next prime is 4042400214337. The reversal of 4042400214321 is 1234120042404.

4042400214321 is a `hidden beast` number, since 4 + 0 + 42 + 400 + 214 + 3 + 2 + 1 = 666.

4042400214321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4042400214321 - 2¹⁵ = 4042400181553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4042400214301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 605327631 + ... + 605334308.

It is an arithmetic number, because the mean of its divisors is an integer number (283294893960).

Almost surely, 2^{4042400214321} is an apocalyptic number.

It is an amenable number.

4042400214321 is a deficient number, since it is larger than the sum of its proper divisors (2756677240719).

4042400214321 is a wasteful number, since it uses less digits than its factorization.

4042400214321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210662005 (or 1210662002 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 4042400214321 its reverse (1234120042404), we get a palindrome (5276520256725).

The spelling of 4042400214321 in words is "four trillion, forty-two billion, four hundred million, two hundred fourteen thousand, three hundred twenty-one".