4230800640 has 576 divisors, whose sum is σ = 16953753600. Its totient is φ = 989798400.

The previous prime is 4230800579. The next prime is 4230800647. The reversal of 4230800640 is 460080324.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4230800647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11784781 + ... + 11785139.

It is an arithmetic number, because the mean of its divisors is an integer number (29433600).

Almost surely, 2^4230800640 is an apocalyptic number.

4230800640 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 4230800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8476876800).

4230800640 is an abundant number, since it is smaller than the sum of its proper divisors (12722952960).

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

4230800640 is a wasteful number, since it uses less digits than its factorization.

4230800640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4230800640 is about 65044.6050030285. The cubic root of 4230800640 is about 1617.3630626205.

Adding to 4230800640 its reverse (460080324), we get a palindrome (4690880964).

The spelling of 4230800640 in words is "four billion, two hundred thirty million, eight hundred thousand, six hundred forty".