4142433200 has 60 divisors (see below), whose sum is σ = 10476014760. Its totient is φ = 1569761280.

The previous prime is 4142433131. The next prime is 4142433221. The reversal of 4142433200 is 23342414.

4142433200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 264929 + ... + 280128.

It is an arithmetic number, because the mean of its divisors is an integer number (174600246).

Almost surely, 2^4142433200 is an apocalyptic number.

4142433200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4142433200 is an abundant number, since it is smaller than the sum of its proper divisors (6333581560).

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

4142433200 is a wasteful number, since it uses less digits than its factorization.

4142433200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545094 (or 545083 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 4142433200 is about 64361.7370803492. The cubic root of 4142433200 is about 1606.0232861446.

Adding to 4142433200 its reverse (23342414), we get a palindrome (4165775614).

The spelling of 4142433200 in words is "four billion, one hundred forty-two million, four hundred thirty-three thousand, two hundred".