4201532320 has 96 divisors (see below), whose sum is σ = 11063304000. Its totient is φ = 1498484736.

The previous prime is 4201532297. The next prime is 4201532323. The reversal of 4201532320 is 232351024.

It is a junction number, because it is equal to n+sod(n) for n = 4201532291 and 4201532300.

It is not an unprimeable number, because it can be changed into a prime (4201532323) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11031 + ... + 92329.

It is an arithmetic number, because the mean of its divisors is an integer number (115242750).

Almost surely, 2^4201532320 is an apocalyptic number.

4201532320 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 4201532320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5531652000).

4201532320 is an abundant number, since it is smaller than the sum of its proper divisors (6861771680).

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

4201532320 is a wasteful number, since it uses less digits than its factorization.

4201532320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81350 (or 81342 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 4201532320 is about 64819.2280114473. The cubic root of 4201532320 is about 1613.6248355787.

Adding to 4201532320 its reverse (232351024), we get a palindrome (4433883344).

The spelling of 4201532320 in words is "four billion, two hundred one million, five hundred thirty-two thousand, three hundred twenty".