4320400000 has 192 divisors, whose sum is σ = 12302962560. Its totient is φ = 1480320000.

The previous prime is 4320399997. The next prime is 4320400031. The reversal of 4320400000 is 40234.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2799229 + ... + 2800771.

It is an arithmetic number, because the mean of its divisors is an integer number (64077930).

Almost surely, 2^4320400000 is an apocalyptic number.

4320400000 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 4320400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6151481280).

4320400000 is an abundant number, since it is smaller than the sum of its proper divisors (7982562560).

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

4320400000 is an frugal number, since it uses more digits than its factorization.

4320400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 4320400000 is about 65729.7497332829. The cubic root of 4320400000 is about 1628.7008353985.

Adding to 4320400000 its reverse (40234), we get a palindrome (4320440234).

It can be divided in two parts, 4320 and 400000, that multiplied together give a cube (1728000000 = 1200³).

The spelling of 4320400000 in words is "four billion, three hundred twenty million, four hundred thousand".