4042627200 has 576 divisors, whose sum is σ = 15982012800. Its totient is φ = 967802880.

The previous prime is 4042627189. The next prime is 4042627201. The reversal of 4042627200 is 27262404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (4042627201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11260621 + ... + 11260979.

It is an arithmetic number, because the mean of its divisors is an integer number (27746550).

Almost surely, 2^4042627200 is an apocalyptic number.

4042627200 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 4042627200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7991006400).

4042627200 is an abundant number, since it is smaller than the sum of its proper divisors (11939385600).

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

4042627200 is a wasteful number, since it uses less digits than its factorization.

4042627200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 4042627200 is about 63581.6577323995. The cubic root of 4042627200 is about 1593.0200107903.

Adding to 4042627200 its reverse (27262404), we get a palindrome (4069889604).

The spelling of 4042627200 in words is "four billion, forty-two million, six hundred twenty-seven thousand, two hundred".