4314322400 has 72 divisors (see below), whose sum is σ = 11086712280. Its totient is φ = 1634895360.

The previous prime is 4314322391. The next prime is 4314322471. The reversal of 4314322400 is 42234134.

It is a super-2 number, since 2×4314322400² = 37226755542283520000, which contains 22 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 126719 + ... + 157118.

It is an arithmetic number, because the mean of its divisors is an integer number (153982115).

Almost surely, 2^4314322400 is an apocalyptic number.

4314322400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4314322400 is an abundant number, since it is smaller than the sum of its proper divisors (6772389880).

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

4314322400 is a wasteful number, since it uses less digits than its factorization.

4314322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283876 (or 283863 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 4314322400 is about 65683.5017336926. The cubic root of 4314322400 is about 1627.9367674612.

Adding to 4314322400 its reverse (42234134), we get a palindrome (4356556534).

The spelling of 4314322400 in words is "four billion, three hundred fourteen million, three hundred twenty-two thousand, four hundred".