4032241004200 has 96 divisors (see below), whose sum is σ = 9631063539000. Its totient is φ = 1568860323840.

The previous prime is 4032241004189. The next prime is 4032241004243. The reversal of 4032241004200 is 24001422304.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 110914309444 + 3921326694756 = 333038^2 + 1980234^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26690476 + ... + 26841124.

Almost surely, 2^{4032241004200} is an apocalyptic number.

4032241004200 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 4032241004200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4815531769500).

4032241004200 is an abundant number, since it is smaller than the sum of its proper divisors (5598822534800).

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

4032241004200 is a wasteful number, since it uses less digits than its factorization.

4032241004200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154319 (or 154310 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 4032241004200 its reverse (24001422304), we get a palindrome (4056242426504).

The spelling of 4032241004200 in words is "four trillion, thirty-two billion, two hundred forty-one million, four thousand, two hundred".