414434041344409 has 2 divisors, whose sum is σ = 414434041344410. Its totient is φ = 414434041344408.

The previous prime is 414434041344319. The next prime is 414434041344451. The reversal of 414434041344409 is 904443140434414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 413808355598400 + 625685746009 = 20342280^2 + 791003^2 .

It is a cyclic number.

It is not a de Polignac number, because 414434041344409 - 2⁹ = 414434041343897 is a prime.

It is not a weakly prime, because it can be changed into another prime (414434041344109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207217020672204 + 207217020672205.

It is an arithmetic number, because the mean of its divisors is an integer number (207217020672205).

Almost surely, 2^{414434041344409} is an apocalyptic number.

It is an amenable number.

414434041344409 is a deficient number, since it is larger than the sum of its proper divisors (1).

414434041344409 is an equidigital number, since it uses as much as digits as its factorization.

414434041344409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5308416, while the sum is 49.

The spelling of 414434041344409 in words is "four hundred fourteen trillion, four hundred thirty-four billion, forty-one million, three hundred forty-four thousand, four hundred nine".