481432434624 has 140 divisors (see below), whose sum is σ = 1430219352408. Its totient is φ = 160128576000.

The previous prime is 481432434601. The next prime is 481432434641. The reversal of 481432434624 is 426434234184.

481432434624 is a `hidden beast` number, since 4 + 8 + 14 + 3 + 2 + 4 + 3 + 4 + 624 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 481432434624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2289099 + ... + 2490549.

Almost surely, 2^481432434624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481432434624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715109676204).

481432434624 is an abundant number, since it is smaller than the sum of its proper divisors (948786917784).

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

481432434624 is a wasteful number, since it uses less digits than its factorization.

481432434624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201936 (or 201917 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 45.

The spelling of 481432434624 in words is "four hundred eighty-one billion, four hundred thirty-two million, four hundred thirty-four thousand, six hundred twenty-four".