4205040520 has 64 divisors (see below), whose sum is σ = 9705168000. Its totient is φ = 1638862848.

The previous prime is 4205040503. The next prime is 4205040523. The reversal of 4205040520 is 250405024.

It is a junction number, because it is equal to n+sod(n) for n = 4205040491 and 4205040500.

It is not an unprimeable number, because it can be changed into a prime (4205040523) 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, 752296 + ... + 757864.

It is an arithmetic number, because the mean of its divisors is an integer number (151643250).

Almost surely, 2^4205040520 is an apocalyptic number.

4205040520 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 4205040520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4852584000).

4205040520 is an abundant number, since it is smaller than the sum of its proper divisors (5500127480).

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

4205040520 is a wasteful number, since it uses less digits than its factorization.

4205040520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6062 (or 6058 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 4205040520 is about 64846.2837794118. The cubic root of 4205040520 is about 1614.0738260391.

Adding to 4205040520 its reverse (250405024), we get a palindrome (4455445544).

The spelling of 4205040520 in words is "four billion, two hundred five million, forty thousand, five hundred twenty".