4042704200 has 48 divisors (see below), whose sum is σ = 9433348980. Its totient is φ = 1611221760.

The previous prime is 4042704199. The next prime is 4042704247. The reversal of 4042704200 is 24072404.

4042704200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 629106724 + 3413597476 = 25082^2 + 58426^2 .

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, 18914 + ... + 91886.

Almost surely, 2^4042704200 is an apocalyptic number.

4042704200 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 4042704200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4716674490).

4042704200 is an abundant number, since it is smaller than the sum of its proper divisors (5390644780).

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

4042704200 is a wasteful number, since it uses less digits than its factorization.

4042704200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73266 (or 73257 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 23.

The square root of 4042704200 is about 63582.2632500605. The cubic root of 4042704200 is about 1593.0301248207.

Adding to 4042704200 its reverse (24072404), we get a palindrome (4066776604).

The spelling of 4042704200 in words is "four billion, forty-two million, seven hundred four thousand, two hundred".