104424303424401 has 24 divisors (see below), whose sum is σ = 152329559489640. Its totient is φ = 68926463424000.

The previous prime is 104424303424391. The next prime is 104424303424411.

104424303424401 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 243 + 0 + 3 + 4 + 2 + 4 + 401 = 666.

104424303424401 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (104424303424391) and next prime (104424303424411).

It can be written as a sum of positive squares in 4 ways, for example, as 33777588798801 + 70646714625600 = 5811849^2 + 8405160^2 .

It is not a de Polignac number, because 104424303424401 - 2¹⁵ = 104424303391633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (104424303424411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177671545 + ... + 178258313.

It is an arithmetic number, because the mean of its divisors is an integer number (6347064978735).

Almost surely, 2^{104424303424401} is an apocalyptic number.

It is an amenable number.

104424303424401 is a deficient number, since it is larger than the sum of its proper divisors (47905256065239).

104424303424401 is a wasteful number, since it uses less digits than its factorization.

104424303424401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782657 (or 782654 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 10442430 and 3424401, that added together give a palindrome (13866831).

The spelling of 104424303424401 in words is "one hundred four trillion, four hundred twenty-four billion, three hundred three million, four hundred twenty-four thousand, four hundred one".