4104061200 has 180 divisors, whose sum is σ = 14296439508. Its totient is φ = 1090252800.

The previous prime is 4104061193. The next prime is 4104061207. The reversal of 4104061200 is 21604014.

4104061200 is a `hidden beast` number, since 4 + 10 + 40 + 612 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4104061193) and next prime (4104061207).

It can be written as a sum of positive squares in 6 ways, for example, as 8573184 + 4095488016 = 2928^2 + 63996^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4104061207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1009572 + ... + 1013628.

Almost surely, 2^4104061200 is an apocalyptic number.

4104061200 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 4104061200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7148219754).

4104061200 is an abundant number, since it is smaller than the sum of its proper divisors (10192378308).

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

4104061200 is a wasteful number, since it uses less digits than its factorization.

4104061200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4362 (or 4348 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4104061200 is about 64062.9471691710. The cubic root of 4104061200 is about 1601.0489475845.

Adding to 4104061200 its reverse (21604014), we get a palindrome (4125665214).

The spelling of 4104061200 in words is "four billion, one hundred four million, sixty-one thousand, two hundred".