414114204001 has 2 divisors, whose sum is σ = 414114204002. Its totient is φ = 414114204000.

The previous prime is 414114203983. The next prime is 414114204047. The reversal of 414114204001 is 100402411414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 382270158400 + 31844045601 = 618280^2 + 178449^2 .

It is a cyclic number.

It is not a de Polignac number, because 414114204001 - 2¹⁷ = 414114072929 is a prime.

It is not a weakly prime, because it can be changed into another prime (414114204061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207057102000 + 207057102001.

It is an arithmetic number, because the mean of its divisors is an integer number (207057102001).

Almost surely, 2^414114204001 is an apocalyptic number.

It is an amenable number.

414114204001 is a deficient number, since it is larger than the sum of its proper divisors (1).

414114204001 is an equidigital number, since it uses as much as digits as its factorization.

414114204001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 414114204001 its reverse (100402411414), we get a palindrome (514516615415).

The spelling of 414114204001 in words is "four hundred fourteen billion, one hundred fourteen million, two hundred four thousand, one".