4320205440 has 128 divisors (see below), whose sum is σ = 13996782720. Its totient is φ = 1133137920.

The previous prime is 4320205397. The next prime is 4320205441. The reversal of 4320205440 is 445020234.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4320205440.

It is not an unprimeable number, because it can be changed into a prime (4320205441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98677 + ... + 135563.

It is an arithmetic number, because the mean of its divisors is an integer number (109349865).

Almost surely, 2^4320205440 is an apocalyptic number.

4320205440 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 4320205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6998391360).

4320205440 is an abundant number, since it is smaller than the sum of its proper divisors (9676577280).

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

4320205440 is a wasteful number, since it uses less digits than its factorization.

4320205440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36970 (or 36958 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 4320205440 is about 65728.2697170708. The cubic root of 4320205440 is about 1628.6763866753.

Adding to 4320205440 its reverse (445020234), we get a palindrome (4765225674).

The spelling of 4320205440 in words is "four billion, three hundred twenty million, two hundred five thousand, four hundred forty".