4142505205321 has 16 divisors (see below), whose sum is σ = 4783469137920. Its totient is φ = 3513975091200.

The previous prime is 4142505205283. The next prime is 4142505205373. The reversal of 4142505205321 is 1235025052414.

It is a happy number.

4142505205321 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4142505205321 - 2⁹ = 4142505204809 is a prime.

It is a super-2 number, since 2×4142505205321² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4142505205021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5453656 + ... + 6166633.

It is an arithmetic number, because the mean of its divisors is an integer number (298966821120).

Almost surely, 2^{4142505205321} is an apocalyptic number.

It is an amenable number.

4142505205321 is a deficient number, since it is larger than the sum of its proper divisors (640963932599).

4142505205321 is a wasteful number, since it uses less digits than its factorization.

4142505205321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11620824.

The product of its (nonzero) digits is 48000, while the sum is 34.

The spelling of 4142505205321 in words is "four trillion, one hundred forty-two billion, five hundred five million, two hundred five thousand, three hundred twenty-one".