4205032240 has 80 divisors (see below), whose sum is σ = 10064266560. Its totient is φ = 1632752640.

The previous prime is 4205032199. The next prime is 4205032241. The reversal of 4205032240 is 422305024.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×4205032240² = 35364592278878835200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4205032241) 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, 1505245 + ... + 1508035.

It is an arithmetic number, because the mean of its divisors is an integer number (125803332).

Almost surely, 2^4205032240 is an apocalyptic number.

4205032240 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 4205032240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5032133280).

4205032240 is an abundant number, since it is smaller than the sum of its proper divisors (5859234320).

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

4205032240 is a wasteful number, since it uses less digits than its factorization.

4205032240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3350 (or 3344 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 4205032240 is about 64846.2199360919. The cubic root of 4205032240 is about 1614.0727666327.

Adding to 4205032240 its reverse (422305024), we get a palindrome (4627337264).

The spelling of 4205032240 in words is "four billion, two hundred five million, thirty-two thousand, two hundred forty".