414909331201 has 4 divisors (see below), whose sum is σ = 414914860804. Its totient is φ = 414903801600.

The previous prime is 414909331181. The next prime is 414909331211. The reversal of 414909331201 is 102133909414.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 231875956225 + 183033374976 = 481535^2 + 427824^2 .

It is a cyclic number.

It is not a de Polignac number, because 414909331201 - 2⁵ = 414909331169 is a prime.

It is a super-4 number, since 4×414909331201⁴ (a number of 48 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414909331211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2650680 + ... + 2802841.

It is an arithmetic number, because the mean of its divisors is an integer number (103728715201).

Almost surely, 2^414909331201 is an apocalyptic number.

It is an amenable number.

414909331201 is a deficient number, since it is larger than the sum of its proper divisors (5529603).

414909331201 is an equidigital number, since it uses as much as digits as its factorization.

414909331201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5529602.

The product of its (nonzero) digits is 23328, while the sum is 37.

The spelling of 414909331201 in words is "four hundred fourteen billion, nine hundred nine million, three hundred thirty-one thousand, two hundred one".