481716994080 has 384 divisors, whose sum is σ = 1744649625600. Its totient is φ = 109444608000.

The previous prime is 481716993977. The next prime is 481716994091. The reversal of 481716994080 is 80499617184.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 481716994080.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 641433705 + ... + 641434455.

It is an arithmetic number, because the mean of its divisors is an integer number (4543358400).

Almost surely, 2^481716994080 is an apocalyptic number.

481716994080 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 481716994080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872324812800).

481716994080 is an abundant number, since it is smaller than the sum of its proper divisors (1262932631520).

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

481716994080 is a wasteful number, since it uses less digits than its factorization.

481716994080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 57.

The spelling of 481716994080 in words is "four hundred eighty-one billion, seven hundred sixteen million, nine hundred ninety-four thousand, eighty".