481913425728 has 252 divisors, whose sum is σ = 1691411460960. Its totient is φ = 130442586624.

The previous prime is 481913425717. The next prime is 481913425733. The reversal of 481913425728 is 827524319184.

481913425728 is a `hidden beast` number, since 4 + 8 + 19 + 13 + 42 + 572 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 86925 + ... + 985587.

Almost surely, 2^481913425728 is an apocalyptic number.

481913425728 is a gapful number since it is divisible by the number (48) 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 481913425728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845705730480).

481913425728 is an abundant number, since it is smaller than the sum of its proper divisors (1209498035232).

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

481913425728 is a wasteful number, since it uses less digits than its factorization.

481913425728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898714 (or 898694 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 481913425728 in words is "four hundred eighty-one billion, nine hundred thirteen million, four hundred twenty-five thousand, seven hundred twenty-eight".