480040808840 has 32 divisors (see below), whose sum is σ = 1080117720000. Its totient is φ = 192011719104.

The previous prime is 480040808839. The next prime is 480040808869. The reversal of 480040808840 is 48808040084.

It is a super-2 number, since 2×480040808840² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 480040808791 and 480040808800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1905371 + ... + 2142549.

It is an arithmetic number, because the mean of its divisors is an integer number (33753678750).

Almost surely, 2^480040808840 is an apocalyptic number.

480040808840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480040808840 is an abundant number, since it is smaller than the sum of its proper divisors (600076911160).

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

480040808840 is a wasteful number, since it uses less digits than its factorization.

480040808840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287789 (or 287785 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 44.

The spelling of 480040808840 in words is "four hundred eighty billion, forty million, eight hundred eight thousand, eight hundred forty".