480822756417840 has 80 divisors (see below), whose sum is σ = 1491165714071808. Its totient is φ = 128166483932928.

The previous prime is 480822756417709. The next prime is 480822756417911. The reversal of 480822756417840 is 48714657228084.

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

It is a super-3 number, since 3×480822756417840³ (a number of 45 digits) contains 333 as substring.

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, 412837414 + ... + 414000453.

Almost surely, 2^{480822756417840} is an apocalyptic number.

480822756417840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480822756417840 is an abundant number, since it is smaller than the sum of its proper divisors (1010342957653968).

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

480822756417840 is a wasteful number, since it uses less digits than its factorization.

480822756417840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826840306 (or 826840300 counting only the distinct ones).

The product of its (nonzero) digits is 192675840, while the sum is 66.

The spelling of 480822756417840 in words is "four hundred eighty trillion, eight hundred twenty-two billion, seven hundred fifty-six million, four hundred seventeen thousand, eight hundred forty".