4205364240 has 960 divisors, whose sum is σ = 18320256000. Its totient is φ = 785756160.

The previous prime is 4205364223. The next prime is 4205364253. The reversal of 4205364240 is 424635024.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4205364198 and 4205364207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 71277331 + ... + 71277389.

It is an arithmetic number, because the mean of its divisors is an integer number (19083600).

Almost surely, 2^4205364240 is an apocalyptic number.

4205364240 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 4205364240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9160128000).

4205364240 is an abundant number, since it is smaller than the sum of its proper divisors (14114891760).

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

4205364240 is a wasteful number, since it uses less digits than its factorization.

4205364240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 4205364240 is about 64848.7797880577. The cubic root of 4205364240 is about 1614.1152441553.

Adding to 4205364240 its reverse (424635024), we get a palindrome (4629999264).

The spelling of 4205364240 in words is "four billion, two hundred five million, three hundred sixty-four thousand, two hundred forty".