4200324000 has 192 divisors, whose sum is σ = 13807003392. Its totient is φ = 1116288000.

The previous prime is 4200323999. The next prime is 4200324043. The reversal of 4200324000 is 4230024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6491677 + ... + 6492323.

It is an arithmetic number, because the mean of its divisors is an integer number (71911476).

Almost surely, 2^4200324000 is an apocalyptic number.

4200324000 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 4200324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6903501696).

4200324000 is an abundant number, since it is smaller than the sum of its proper divisors (9606679392).

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

4200324000 is a wasteful number, since it uses less digits than its factorization.

4200324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 4200324000 is about 64809.9066501411. The cubic root of 4200324000 is about 1613.4701331229.

Adding to 4200324000 its reverse (4230024), we get a palindrome (4204554024).

The spelling of 4200324000 in words is "four billion, two hundred million, three hundred twenty-four thousand".