480114640441 has 8 divisors (see below), whose sum is σ = 511768470600. Its totient is φ = 448839898368.

The previous prime is 480114640433. The next prime is 480114640529. The reversal of 480114640441 is 144046411084.

It can be written as a sum of positive squares in 4 ways, for example, as 180111964816 + 300002675625 = 424396^2 + 547725^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 480114640441 - 2³ = 480114640433 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 480114640441.

It is not an unprimeable number, because it can be changed into a prime (480114640541) 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 7 ways as a sum of consecutive naturals, for example, 94769406 + ... + 94774471.

It is an arithmetic number, because the mean of its divisors is an integer number (63971058825).

Almost surely, 2^480114640441 is an apocalyptic number.

It is an amenable number.

480114640441 is a deficient number, since it is larger than the sum of its proper divisors (31653830159).

480114640441 is a wasteful number, since it uses less digits than its factorization.

480114640441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189544043.

The product of its (nonzero) digits is 49152, while the sum is 37.

The spelling of 480114640441 in words is "four hundred eighty billion, one hundred fourteen million, six hundred forty thousand, four hundred forty-one".