4180480384 has 64 divisors (see below), whose sum is σ = 8682260400. Its totient is φ = 2002524160.

The previous prime is 4180480373. The next prime is 4180480441. The reversal of 4180480384 is 4830840814.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 481974 + ... + 490570.

Almost surely, 2^4180480384 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 4180480384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4341130200).

4180480384 is an abundant number, since it is smaller than the sum of its proper divisors (4501780016).

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

4180480384 is a wasteful number, since it uses less digits than its factorization.

4180480384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8771 (or 8759 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 4180480384 is about 64656.6344932985. The cubic root of 4180480384 is about 1610.9252791231.

The spelling of 4180480384 in words is "four billion, one hundred eighty million, four hundred eighty thousand, three hundred eighty-four".