480041415405 has 48 divisors (see below), whose sum is σ = 852579786240. Its totient is φ = 249715065600.

The previous prime is 480041415397. The next prime is 480041415431. The reversal of 480041415405 is 504514140084.

It is not a de Polignac number, because 480041415405 - 2³ = 480041415397 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 480041415405.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 7849536 + ... + 7910454.

It is an arithmetic number, because the mean of its divisors is an integer number (17762078880).

Almost surely, 2^480041415405 is an apocalyptic number.

480041415405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

480041415405 is a deficient number, since it is larger than the sum of its proper divisors (372538370835).

480041415405 is a wasteful number, since it uses less digits than its factorization.

480041415405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65242 (or 65239 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

Adding to 480041415405 its reverse (504514140084), we get a palindrome (984555555489).

The spelling of 480041415405 in words is "four hundred eighty billion, forty-one million, four hundred fifteen thousand, four hundred five".