104430401440441 has 32 divisors (see below), whose sum is σ = 112683788845056. Its totient is φ = 96584775840000.

The previous prime is 104430401440373. The next prime is 104430401440459. The reversal of 104430401440441 is 144044104034401.

It is a cyclic number.

It is not a de Polignac number, because 104430401440441 - 2¹³ = 104430401432249 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 104430401440397 and 104430401440406.

It is not an unprimeable number, because it can be changed into a prime (104430401440471) by changing a digit.

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 in 31 ways as a sum of consecutive naturals, for example, 231019041 + ... + 231470641.

It is an arithmetic number, because the mean of its divisors is an integer number (3521368401408).

Almost surely, 2^{104430401440441} is an apocalyptic number.

It is an amenable number.

104430401440441 is a deficient number, since it is larger than the sum of its proper divisors (8253387404615).

104430401440441 is a wasteful number, since it uses less digits than its factorization.

104430401440441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455413.

The product of its (nonzero) digits is 49152, while the sum is 34.

Adding to 104430401440441 its reverse (144044104034401), we get a palindrome (248474505474842).

The spelling of 104430401440441 in words is "one hundred four trillion, four hundred thirty billion, four hundred one million, four hundred forty thousand, four hundred forty-one".