4230304214400 has 576 divisors, whose sum is σ = 16692605645040. Its totient is φ = 1011474432000.

The previous prime is 4230304214387. The next prime is 4230304214413. The reversal of 4230304214400 is 44124030324.

It is a happy number.

4230304214400 is a `hidden beast` number, since 4 + 230 + 3 + 0 + 4 + 21 + 4 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (4230304214387) and next prime (4230304214413).

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23034940 + ... + 23217860.

Almost surely, 2^{4230304214400} is an apocalyptic number.

4230304214400 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 4230304214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8346302822520).

4230304214400 is an abundant number, since it is smaller than the sum of its proper divisors (12462301430640).

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

4230304214400 is a wasteful number, since it uses less digits than its factorization.

4230304214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183035 (or 183015 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 4230304214400 its reverse (44124030324), we get a palindrome (4274428244724).

The spelling of 4230304214400 in words is "four trillion, two hundred thirty billion, three hundred four million, two hundred fourteen thousand, four hundred".