4104032113200 has 240 divisors, whose sum is σ = 13349295590400. Its totient is φ = 1077574041600.

The previous prime is 4104032113193. The next prime is 4104032113201. The reversal of 4104032113200 is 23112304014.

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

It is a super-2 number, since 2×4104032113200² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4104032113201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65487481 + ... + 65550119.

It is an arithmetic number, because the mean of its divisors is an integer number (55622064960).

Almost surely, 2^{4104032113200} is an apocalyptic number.

4104032113200 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 4104032113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6674647795200).

4104032113200 is an abundant number, since it is smaller than the sum of its proper divisors (9245263477200).

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

4104032113200 is a wasteful number, since it uses less digits than its factorization.

4104032113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63500 (or 63489 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 4104032113200 its reverse (23112304014), we get a palindrome (4127144417214).

The spelling of 4104032113200 in words is "four trillion, one hundred four billion, thirty-two million, one hundred thirteen thousand, two hundred".