4205623240 has 128 divisors (see below), whose sum is σ = 11674575360. Its totient is φ = 1327785984.

The previous prime is 4205623211. The next prime is 4205623249. The reversal of 4205623240 is 423265024.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 4205623199 and 4205623208.

It is not an unprimeable number, because it can be changed into a prime (4205623249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1829772 + ... + 1832068.

It is an arithmetic number, because the mean of its divisors is an integer number (91207620).

Almost surely, 2^4205623240 is an apocalyptic number.

4205623240 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 4205623240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5837287680).

4205623240 is an abundant number, since it is smaller than the sum of its proper divisors (7468952120).

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

4205623240 is a wasteful number, since it uses less digits than its factorization.

4205623240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2831 (or 2827 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 4205623240 is about 64850.7767108460. The cubic root of 4205623240 is about 1614.1483801884.

Adding to 4205623240 its reverse (423265024), we get a palindrome (4628888264).

The spelling of 4205623240 in words is "four billion, two hundred five million, six hundred twenty-three thousand, two hundred forty".