4342800000 has 768 divisors, whose sum is σ = 18358824960. Its totient is φ = 883200000.

The previous prime is 4342799977. The next prime is 4342800029. The reversal of 4342800000 is 82434.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 4342800000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92399977 + ... + 92400023.

It is an arithmetic number, because the mean of its divisors is an integer number (23904720).

Almost surely, 2^4342800000 is an apocalyptic number.

4342800000 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 4342800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9179412480).

4342800000 is an abundant number, since it is smaller than the sum of its proper divisors (14016024960).

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

4342800000 is an equidigital number, since it uses as much as digits as its factorization.

4342800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4342800000 is about 65899.9241274222. The cubic root of 4342800000 is about 1631.5107626178.

Adding to 4342800000 its reverse (82434), we get a palindrome (4342882434).

The spelling of 4342800000 in words is "four billion, three hundred forty-two million, eight hundred thousand".