4230413440 has 128 divisors (see below), whose sum is σ = 11214728640. Its totient is φ = 1512960000.

The previous prime is 4230413417. The next prime is 4230413449. The reversal of 4230413440 is 443140324.

4230413440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (4230413449) 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, 424515 + ... + 434365.

Almost surely, 2^4230413440 is an apocalyptic number.

4230413440 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 4230413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5607364320).

4230413440 is an abundant number, since it is smaller than the sum of its proper divisors (6984315200).

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

4230413440 is a wasteful number, since it uses less digits than its factorization.

4230413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9942 (or 9930 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 4230413440 is about 65041.6285158974. The cubic root of 4230413440 is about 1617.3137211257.

Adding to 4230413440 its reverse (443140324), we get a palindrome (4673553764).

The spelling of 4230413440 in words is "four billion, two hundred thirty million, four hundred thirteen thousand, four hundred forty".