481082853121920 has 256 divisors, whose sum is σ = 1947240120268800. Its totient is φ = 109961794971648.

The previous prime is 481082853121903. The next prime is 481082853121987. The reversal of 481082853121920 is 29121358280184.

It is a happy number.

481082853121920 is a `hidden beast` number, since 4 + 8 + 1 + 0 + 82 + 8 + 531 + 2 + 1 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1988482104 + ... + 1988724023.

It is an arithmetic number, because the mean of its divisors is an integer number (7606406719800).

Almost surely, 2^{481082853121920} is an apocalyptic number.

481082853121920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

481082853121920 is an abundant number, since it is smaller than the sum of its proper divisors (1466157267146880).

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

481082853121920 is a wasteful number, since it uses less digits than its factorization.

481082853121920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3977206162 (or 3977206144 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 481082853121920 in words is "four hundred eighty-one trillion, eighty-two billion, eight hundred fifty-three million, one hundred twenty-one thousand, nine hundred twenty".