4223324310400 has 384 divisors, whose sum is σ = 11423348546400. Its totient is φ = 1533389045760.

The previous prime is 4223324310389. The next prime is 4223324310433. The reversal of 4223324310400 is 40134233224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2254843864 + ... + 2254845736.

Almost surely, 2^{4223324310400} is an apocalyptic number.

4223324310400 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 4223324310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5711674273200).

4223324310400 is an abundant number, since it is smaller than the sum of its proper divisors (7200024236000).

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

4223324310400 is a wasteful number, since it uses less digits than its factorization.

4223324310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2786 (or 2769 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 4223324310400 its reverse (40134233224), we get a palindrome (4263458543624).

The spelling of 4223324310400 in words is "four trillion, two hundred twenty-three billion, three hundred twenty-four million, three hundred ten thousand, four hundred".