480777703440 has 80 divisors (see below), whose sum is σ = 1492826917248. Its totient is φ = 127999556608.

The previous prime is 480777703429. The next prime is 480777703493. The reversal of 480777703440 is 44307777084.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×480777703440³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1475292 + ... + 1771451.

Almost surely, 2^480777703440 is an apocalyptic number.

480777703440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480777703440 is an abundant number, since it is smaller than the sum of its proper divisors (1012049213808).

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

480777703440 is a wasteful number, since it uses less digits than its factorization.

480777703440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3247376 (or 3247370 counting only the distinct ones).

The product of its (nonzero) digits is 3687936, while the sum is 51.

The spelling of 480777703440 in words is "four hundred eighty billion, seven hundred seventy-seven million, seven hundred three thousand, four hundred forty".