4204345824 has 240 divisors, whose sum is σ = 14422716000. Its totient is φ = 1200987648.

The previous prime is 4204345813. The next prime is 4204345889. The reversal of 4204345824 is 4285434024.

4204345824 is a `hidden beast` number, since 42 + 0 + 4 + 34 + 582 + 4 = 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 39 ways as a sum of consecutive naturals, for example, 886692 + ... + 891420.

It is an arithmetic number, because the mean of its divisors is an integer number (60094650).

Almost surely, 2^4204345824 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 4204345824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7211358000).

4204345824 is an abundant number, since it is smaller than the sum of its proper divisors (10218370176).

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

4204345824 is an equidigital number, since it uses as much as digits as its factorization.

4204345824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4772 (or 4741 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The square root of 4204345824 is about 64840.9270754205. The cubic root of 4204345824 is about 1613.9849364966.

Adding to 4204345824 its reverse (4285434024), we get a palindrome (8489779848).

The spelling of 4204345824 in words is "four billion, two hundred four million, three hundred forty-five thousand, eight hundred twenty-four".