4000242224200 has 48 divisors (see below), whose sum is σ = 9300906305460. Its totient is φ = 1600037856000.

The previous prime is 4000242224191. The next prime is 4000242224201. The reversal of 4000242224200 is 24222420004.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3178539859716 + 821702364484 = 1782846^2 + 906478^2 .

It is not an unprimeable number, because it can be changed into a prime (4000242224201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5281330 + ... + 5991070.

Almost surely, 2^{4000242224200} is an apocalyptic number.

4000242224200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000242224200 is an abundant number, since it is smaller than the sum of its proper divisors (5300664081260).

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

4000242224200 is a wasteful number, since it uses less digits than its factorization.

4000242224200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737938 (or 737929 counting only the distinct ones).

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

Adding to 4000242224200 its reverse (24222420004), we get a palindrome (4024464644204).

The spelling of 4000242224200 in words is "four trillion, two hundred forty-two million, two hundred twenty-four thousand, two hundred".