4320009000 has 192 divisors, whose sum is σ = 14997425040. Its totient is φ = 1120780800.

The previous prime is 4320008989. The next prime is 4320009011. The reversal of 4320009000 is 9000234.

It is an interprime number because it is at equal distance from previous prime (4320008989) and next prime (4320009011).

It can be written as a sum of positive squares in 8 ways, for example, as 9036036 + 4310972964 = 3006^2 + 65658^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 326514 + ... + 339486.

Almost surely, 2^4320009000 is an apocalyptic number.

4320009000 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 4320009000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7498712520).

4320009000 is an abundant number, since it is smaller than the sum of its proper divisors (10677416040).

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

4320009000 is a wasteful number, since it uses less digits than its factorization.

4320009000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13037 (or 13020 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 4320009000 is about 65726.7753659040. The cubic root of 4320009000 is about 1628.6517009635.

Adding to 4320009000 its reverse (9000234), we get a palindrome (4329009234).

The spelling of 4320009000 in words is "four billion, three hundred twenty million, nine thousand".