4314304000 has 80 divisors (see below), whose sum is σ = 10758146256. Its totient is φ = 1725696000.

The previous prime is 4314303977. The next prime is 4314304009. The reversal of 4314304000 is 4034134.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×4314304000² = 37226438008832000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4314304009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30295 + ... + 97705.

Almost surely, 2^4314304000 is an apocalyptic number.

4314304000 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 4314304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5379073128).

4314304000 is an abundant number, since it is smaller than the sum of its proper divisors (6443842256).

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

4314304000 is an frugal number, since it uses more digits than its factorization.

4314304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67444 (or 67418 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 4314304000 is about 65683.3616679293. The cubic root of 4314304000 is about 1627.9344531480.

Adding to 4314304000 its reverse (4034134), we get a palindrome (4318338134).

The spelling of 4314304000 in words is "four billion, three hundred fourteen million, three hundred four thousand".