414101345304104 has 8 divisors (see below), whose sum is σ = 776440022445210. Its totient is φ = 207050672652048.

The previous prime is 414101345304079. The next prime is 414101345304139. The reversal of 414101345304104 is 401403543101414.

It can be written as a sum of positive squares in only one way, i.e., 413321179411204 + 780165892900 = 20330302^2 + 883270^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25881334081499 + ... + 25881334081514.

Almost surely, 2^{414101345304104} is an apocalyptic number.

It is an amenable number.

414101345304104 is a deficient number, since it is larger than the sum of its proper divisors (362338677141106).

414101345304104 is a wasteful number, since it uses less digits than its factorization.

414101345304104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51762668163019 (or 51762668163015 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

Adding to 414101345304104 its reverse (401403543101414), we get a palindrome (815504888405518).

The spelling of 414101345304104 in words is "four hundred fourteen trillion, one hundred one billion, three hundred forty-five million, three hundred four thousand, one hundred four".