4104455200 has 72 divisors (see below), whose sum is σ = 10041857280. Its totient is φ = 1638201600.

The previous prime is 4104455141. The next prime is 4104455207. The reversal of 4104455200 is 25544014.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (4104455207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 377845 + ... + 388555.

It is an arithmetic number, because the mean of its divisors is an integer number (139470240).

Almost surely, 2^4104455200 is an apocalyptic number.

4104455200 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 4104455200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5020928640).

4104455200 is an abundant number, since it is smaller than the sum of its proper divisors (5937402080).

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

4104455200 is a wasteful number, since it uses less digits than its factorization.

4104455200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11210 (or 11197 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 4104455200 is about 64066.0221958567. The cubic root of 4104455200 is about 1601.1001808279.

Adding to 4104455200 its reverse (25544014), we get a palindrome (4129999214).

The spelling of 4104455200 in words is "four billion, one hundred four million, four hundred fifty-five thousand, two hundred".