4201805832 has 128 divisors (see below), whose sum is σ = 12378009600. Its totient is φ = 1163801088.

The previous prime is 4201805767. The next prime is 4201805893. The reversal of 4201805832 is 2385081024.

It is a junction number, because it is equal to n+sod(n) for n = 4201805793 and 4201805802.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 720673 + ... + 726479.

It is an arithmetic number, because the mean of its divisors is an integer number (96703200).

Almost surely, 2^4201805832 is an apocalyptic number.

4201805832 is a gapful number since it is divisible by the number (42) 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 4201805832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6189004800).

4201805832 is an abundant number, since it is smaller than the sum of its proper divisors (8176203768).

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

4201805832 is a wasteful number, since it uses less digits than its factorization.

4201805832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5955 (or 5951 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 4201805832 is about 64821.3377831714. The cubic root of 4201805832 is about 1613.6598494852.

Adding to 4201805832 its reverse (2385081024), we get a palindrome (6586886856).

The spelling of 4201805832 in words is "four billion, two hundred one million, eight hundred five thousand, eight hundred thirty-two".