414001312411121 has 8 divisors (see below), whose sum is σ = 417666092558280. Its totient is φ = 410336550715392.

The previous prime is 414001312411081. The next prime is 414001312411187. The reversal of 414001312411121 is 121114213100414.

It can be written as a sum of positive squares in 4 ways, for example, as 29991668896225 + 384009643514896 = 5476465^2 + 19596164^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414001312411121 is a prime.

It is a super-2 number, since 2×414001312411121² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414001312414121) 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 7 ways as a sum of consecutive naturals, for example, 42588785 + ... + 51398513.

It is an arithmetic number, because the mean of its divisors is an integer number (52208261569785).

Almost surely, 2^{414001312411121} is an apocalyptic number.

It is an amenable number.

414001312411121 is a deficient number, since it is larger than the sum of its proper divisors (3664780147159).

414001312411121 is a wasteful number, since it uses less digits than its factorization.

414001312411121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9225715.

The product of its (nonzero) digits is 768, while the sum is 26.

Adding to 414001312411121 its reverse (121114213100414), we get a palindrome (535115525511535).

The spelling of 414001312411121 in words is "four hundred fourteen trillion, one billion, three hundred twelve million, four hundred eleven thousand, one hundred twenty-one".