4223414400 has 192 divisors, whose sum is σ = 13996782720. Its totient is φ = 1119293440.

The previous prime is 4223414359. The next prime is 4223414443. The reversal of 4223414400 is 44143224.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1659529 + ... + 1662071.

It is an arithmetic number, because the mean of its divisors is an integer number (72899910).

Almost surely, 2^4223414400 is an apocalyptic number.

4223414400 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 4223414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6998391360).

4223414400 is an abundant number, since it is smaller than the sum of its proper divisors (9773368320).

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

4223414400 is a wasteful number, since it uses less digits than its factorization.

4223414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2743 (or 2726 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4223414400 is about 64987.8019323627. The cubic root of 4223414400 is about 1616.4213030870.

Adding to 4223414400 its reverse (44143224), we get a palindrome (4267557624).

The spelling of 4223414400 in words is "four billion, two hundred twenty-three million, four hundred fourteen thousand, four hundred".