4142033200 has 240 divisors, whose sum is σ = 10849305600. Its totient is φ = 1515571200.

The previous prime is 4142033183. The next prime is 4142033219. The reversal of 4142033200 is 23302414.

4142033200 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 47 ways as a sum of consecutive naturals, for example, 29798731 + ... + 29798869.

It is an arithmetic number, because the mean of its divisors is an integer number (45205440).

Almost surely, 2^4142033200 is an apocalyptic number.

4142033200 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 4142033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5424652800).

4142033200 is an abundant number, since it is smaller than the sum of its proper divisors (6707272400).

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

4142033200 is a wasteful number, since it uses less digits than its factorization.

4142033200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 4142033200 is about 64358.6295690019. The cubic root of 4142033200 is about 1605.9715910851.

Adding to 4142033200 its reverse (23302414), we get a palindrome (4165335614).

The spelling of 4142033200 in words is "four billion, one hundred forty-two million, thirty-three thousand, two hundred".