4320212400 has 540 divisors, whose sum is σ = 18372205800. Its totient is φ = 934778880.

The previous prime is 4320212399. The next prime is 4320212417. The reversal of 4320212400 is 42120234.

It is a super-2 number, since 2×4320212400² = 37328470362227520000, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3350956 + ... + 3352244.

Almost surely, 2^4320212400 is an apocalyptic number.

4320212400 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 4320212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9186102900).

4320212400 is an abundant number, since it is smaller than the sum of its proper divisors (14051993400).

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

4320212400 is a wasteful number, since it uses less digits than its factorization.

4320212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4320212400 is about 65728.3226623044. The cubic root of 4320212400 is about 1628.6772612927.

Adding to 4320212400 its reverse (42120234), we get a palindrome (4362332634).

The spelling of 4320212400 in words is "four billion, three hundred twenty million, two hundred twelve thousand, four hundred".