4205532000 has 192 divisors, whose sum is σ = 13923209664. Its totient is φ = 1109606400.

The previous prime is 4205531983. The next prime is 4205532047. The reversal of 4205532000 is 2355024.

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 31 ways as a sum of consecutive naturals, for example, 1162194 + ... + 1165806.

It is an arithmetic number, because the mean of its divisors is an integer number (72516717).

Almost surely, 2^4205532000 is an apocalyptic number.

4205532000 is a gapful number since it is divisible by the number (40) 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 4205532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6961604832).

4205532000 is an abundant number, since it is smaller than the sum of its proper divisors (9717677664).

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

4205532000 is a wasteful number, since it uses less digits than its factorization.

4205532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3738 (or 3720 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 4205532000 is about 64850.0732459108. The cubic root of 4205532000 is about 1614.1367072484.

Adding to 4205532000 its reverse (2355024), we get a palindrome (4207887024).

The spelling of 4205532000 in words is "four billion, two hundred five million, five hundred thirty-two thousand".