4320214400 has 96 divisors (see below), whose sum is σ = 10778752080. Its totient is φ = 1710848000.

The previous prime is 4320214397. The next prime is 4320214417. The reversal of 4320214400 is 44120234.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 316517 + ... + 329883.

Almost surely, 2^4320214400 is an apocalyptic number.

4320214400 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 4320214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5389376040).

4320214400 is an abundant number, since it is smaller than the sum of its proper divisors (6458537680).

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

4320214400 is a wasteful number, since it uses less digits than its factorization.

4320214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13492 (or 13475 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4320214400 is about 65728.3378764441. The cubic root of 4320214400 is about 1628.6775126194.

Adding to 4320214400 its reverse (44120234), we get a palindrome (4364334634).

The spelling of 4320214400 in words is "four billion, three hundred twenty million, two hundred fourteen thousand, four hundred".