481083520320 has 1120 divisors, whose sum is σ = 1956069118080. Its totient is φ = 111257763840.

The previous prime is 481083520261. The next prime is 481083520349. The reversal of 481083520320 is 23025380184.

481083520320 is a `hidden beast` number, since 4 + 8 + 108 + 3 + 520 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 1043564890 + ... + 1043565350.

It is an arithmetic number, because the mean of its divisors is an integer number (1746490284).

Almost surely, 2^481083520320 is an apocalyptic number.

481083520320 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 481083520320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978034559040).

481083520320 is an abundant number, since it is smaller than the sum of its proper divisors (1474985597760).

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

481083520320 is a wasteful number, since it uses less digits than its factorization.

481083520320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 481083520320 in words is "four hundred eighty-one billion, eighty-three million, five hundred twenty thousand, three hundred twenty".