4234322400 has 432 divisors, whose sum is σ = 17322141312. Its totient is φ = 879436800.

The previous prime is 4234322383. The next prime is 4234322419. The reversal of 4234322400 is 42234324.

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

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, 2031759 + ... + 2033841.

Almost surely, 2^4234322400 is an apocalyptic number.

4234322400 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 4234322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8661070656).

4234322400 is an abundant number, since it is smaller than the sum of its proper divisors (13087818912).

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

4234322400 is a wasteful number, since it uses less digits than its factorization.

4234322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 4234322400 is about 65071.6712556240. The cubic root of 4234322400 is about 1617.8117077900.

Adding to 4234322400 its reverse (42234324), we get a palindrome (4276556724).

The spelling of 4234322400 in words is "four billion, two hundred thirty-four million, three hundred twenty-two thousand, four hundred".