4800230400000 has 672 divisors, whose sum is σ = 18286353348480. Its totient is φ = 1097072640000.

The previous prime is 4800230399917. The next prime is 4800230400059. The reversal of 4800230400000 is 40320084.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

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 4800230400000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 537595536 + ... + 537604464.

It is an arithmetic number, because the mean of its divisors is an integer number (27211835340).

Almost surely, 2^{4800230400000} is an apocalyptic number.

4800230400000 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 4800230400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9143176674240).

4800230400000 is an abundant number, since it is smaller than the sum of its proper divisors (13486122948480).

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

4800230400000 is an frugal number, since it uses more digits than its factorization.

4800230400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8990 (or 8946 counting only the distinct ones).

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

Adding to 4800230400000 its reverse (40320084), we get a palindrome (4800270720084).

The spelling of 4800230400000 in words is "four trillion, eight hundred billion, two hundred thirty million, four hundred thousand".