480120404000 has 96 divisors (see below), whose sum is σ = 1220333914800. Its totient is φ = 185425766400.

The previous prime is 480120403949. The next prime is 480120404033. The reversal of 480120404000 is 404021084.

It can be written as a sum of positive squares in 8 ways, for example, as 6077137936 + 474043266064 = 77956^2 + 688508^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1953485 + ... + 2185484.

Almost surely, 2^480120404000 is an apocalyptic number.

480120404000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480120404000 is an abundant number, since it is smaller than the sum of its proper divisors (740213510800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

480120404000 is a wasteful number, since it uses less digits than its factorization.

480120404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4139023 (or 4139005 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 480120404000 its reverse (404021084), we get a palindrome (480524425084).

The spelling of 480120404000 in words is "four hundred eighty billion, one hundred twenty million, four hundred four thousand".