480084408041 has 8 divisors (see below), whose sum is σ = 549036883200. Its totient is φ = 411224179968.

The previous prime is 480084408019. The next prime is 480084408047. The reversal of 480084408041 is 140804480084.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 480084408041 - 2³⁰ = 479010666217 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 480084408041.

It is not an unprimeable number, because it can be changed into a prime (480084408047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23050616 + ... + 23071433.

It is an arithmetic number, because the mean of its divisors is an integer number (68629610400).

Almost surely, 2^480084408041 is an apocalyptic number.

It is an amenable number.

480084408041 is a deficient number, since it is larger than the sum of its proper divisors (68952475159).

480084408041 is a wasteful number, since it uses less digits than its factorization.

480084408041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46123543.

The product of its (nonzero) digits is 131072, while the sum is 41.

The spelling of 480084408041 in words is "four hundred eighty billion, eighty-four million, four hundred eight thousand, forty-one".