414200332121 has 2 divisors, whose sum is σ = 414200332122. Its totient is φ = 414200332120.

The previous prime is 414200332069. The next prime is 414200332153. The reversal of 414200332121 is 121233002414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 240614775625 + 173585556496 = 490525^2 + 416636^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414200332121 is a prime.

It is not a weakly prime, because it can be changed into another prime (414200332421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207100166060 + 207100166061.

It is an arithmetic number, because the mean of its divisors is an integer number (207100166061).

Almost surely, 2^414200332121 is an apocalyptic number.

It is an amenable number.

414200332121 is a deficient number, since it is larger than the sum of its proper divisors (1).

414200332121 is an equidigital number, since it uses as much as digits as its factorization.

414200332121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 414200332121 its reverse (121233002414), we get a palindrome (535433334535).

The spelling of 414200332121 in words is "four hundred fourteen billion, two hundred million, three hundred thirty-two thousand, one hundred twenty-one".