4205874432 has 72 divisors (see below), whose sum is σ = 11230390080. Its totient is φ = 1397370880.

The previous prime is 4205874427. The next prime is 4205874451. The reversal of 4205874432 is 2344785024.

It is a happy number.

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, 230044 + ... + 247652.

It is an arithmetic number, because the mean of its divisors is an integer number (155977640).

Almost surely, 2^4205874432 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 4205874432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5615195040).

4205874432 is an abundant number, since it is smaller than the sum of its proper divisors (7024515648).

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

4205874432 is a wasteful number, since it uses less digits than its factorization.

4205874432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17939 (or 17925 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 39.

The square root of 4205874432 is about 64852.7133742298. The cubic root of 4205874432 is about 1614.1805159794.

The spelling of 4205874432 in words is "four billion, two hundred five million, eight hundred seventy-four thousand, four hundred thirty-two".