481712418720 has 576 divisors, whose sum is σ = 1826679647520. Its totient is φ = 114829000704.

The previous prime is 481712418713. The next prime is 481712418721. The reversal of 481712418720 is 27814217184.

481712418720 is a `hidden beast` number, since 48 + 171 + 2 + 418 + 7 + 20 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 250724524176 + 230987894544 = 500724^2 + 480612^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (481712418721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 158613042 + ... + 158616078.

Almost surely, 2^481712418720 is an apocalyptic number.

481712418720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481712418720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913339823760).

481712418720 is an abundant number, since it is smaller than the sum of its proper divisors (1344967228800).

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

481712418720 is a wasteful number, since it uses less digits than its factorization.

481712418720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3337 (or 3326 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The spelling of 481712418720 in words is "four hundred eighty-one billion, seven hundred twelve million, four hundred eighteen thousand, seven hundred twenty".