414142303121 has 8 divisors (see below), whose sum is σ = 415424364264. Its totient is φ = 412861743360.

The previous prime is 414142303111. The next prime is 414142303187. The reversal of 414142303121 is 121303241414.

It can be written as a sum of positive squares in 4 ways, for example, as 90962560000 + 323179743121 = 301600^2 + 568489^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 414142303121 - 2¹⁰ = 414142302097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414142303111) 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 7 ways as a sum of consecutive naturals, for example, 178451 + ... + 927431.

It is an arithmetic number, because the mean of its divisors is an integer number (51928045533).

Almost surely, 2^414142303121 is an apocalyptic number.

It is an amenable number.

414142303121 is a deficient number, since it is larger than the sum of its proper divisors (1282061143).

414142303121 is a wasteful number, since it uses less digits than its factorization.

414142303121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750691.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 414142303121 its reverse (121303241414), we get a palindrome (535445544535).

The spelling of 414142303121 in words is "four hundred fourteen billion, one hundred forty-two million, three hundred three thousand, one hundred twenty-one".