4202040044200 has 48 divisors (see below), whose sum is σ = 9770509898460. Its totient is φ = 1680684096000.

The previous prime is 4202040044171. The next prime is 4202040044239. The reversal of 4202040044200 is 24400402024.

4202040044200 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 2060447801476 + 2141592242724 = 1435426^2 + 1463418^2 .

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, 1750110 + ... + 3386290.

Almost surely, 2^{4202040044200} is an apocalyptic number.

4202040044200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4202040044200 is an abundant number, since it is smaller than the sum of its proper divisors (5568469854260).

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

4202040044200 is a wasteful number, since it uses less digits than its factorization.

4202040044200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649038 (or 1649029 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 4202040044200 its reverse (24400402024), we get a palindrome (4226440446224).

The spelling of 4202040044200 in words is "four trillion, two hundred two billion, forty million, forty-four thousand, two hundred".