4200104341200 has 240 divisors, whose sum is σ = 13683795181056. Its totient is φ = 1101085939200.

The previous prime is 4200104341189. The next prime is 4200104341217. The reversal of 4200104341200 is 21434010024.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16695549 + ... + 16945251.

Almost surely, 2^{4200104341200} is an apocalyptic number.

4200104341200 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 4200104341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6841897590528).

4200104341200 is an abundant number, since it is smaller than the sum of its proper divisors (9483690839856).

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

4200104341200 is a wasteful number, since it uses less digits than its factorization.

4200104341200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249962 (or 249951 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 4200104341200 its reverse (21434010024), we get a palindrome (4221538351224).

The spelling of 4200104341200 in words is "four trillion, two hundred billion, one hundred four million, three hundred forty-one thousand, two hundred".