414432809683201 has 8 divisors (see below), whose sum is σ = 414498032989704. Its totient is φ = 414367588024320.

The previous prime is 414432809683181. The next prime is 414432809683231. The reversal of 414432809683201 is 102386908234414.

It can be written as a sum of positive squares in 4 ways, for example, as 96826092000625 + 317606717682576 = 9840025^2 + 17821524^2 .

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 414432809683201 - 2¹⁷ = 414432809552129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414432809683231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 562756041 + ... + 563491993.

It is an arithmetic number, because the mean of its divisors is an integer number (51812254123713).

Almost surely, 2^{414432809683201} is an apocalyptic number.

It is an amenable number.

414432809683201 is a deficient number, since it is larger than the sum of its proper divisors (65223306503).

414432809683201 is an equidigital number, since it uses as much as digits as its factorization.

414432809683201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823811.

The product of its (nonzero) digits is 7962624, while the sum is 55.

The spelling of 414432809683201 in words is "four hundred fourteen trillion, four hundred thirty-two billion, eight hundred nine million, six hundred eighty-three thousand, two hundred one".