4350424000 has 224 divisors, whose sum is σ = 11815876800. Its totient is φ = 1576857600.

The previous prime is 4350423997. The next prime is 4350424003. The reversal of 4350424000 is 4240534.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4350423997) and next prime (4350424003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4350424003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6135646 + ... + 6136354.

It is an arithmetic number, because the mean of its divisors is an integer number (52749450).

Almost surely, 2^4350424000 is an apocalyptic number.

4350424000 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 4350424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5907938400).

4350424000 is an abundant number, since it is smaller than the sum of its proper divisors (7465452800).

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

4350424000 is a wasteful number, since it uses less digits than its factorization.

4350424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 4350424000 is about 65957.7440487468. The cubic root of 4350424000 is about 1632.4649370570.

Adding to 4350424000 its reverse (4240534), we get a palindrome (4354664534).

The spelling of 4350424000 in words is "four billion, three hundred fifty million, four hundred twenty-four thousand".