4104412800 has 192 divisors, whose sum is σ = 13585216800. Its totient is φ = 1089146880.

The previous prime is 4104412747. The next prime is 4104412817. The reversal of 4104412800 is 82144014.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 2197467 + ... + 2199333.

Almost surely, 2^4104412800 is an apocalyptic number.

4104412800 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 4104412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6792608400).

4104412800 is an abundant number, since it is smaller than the sum of its proper divisors (9480804000).

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

4104412800 is a wasteful number, since it uses less digits than its factorization.

4104412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2123 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 4104412800 is about 64065.6912863664. The cubic root of 4104412800 is about 1601.0946675602.

Adding to 4104412800 its reverse (82144014), we get a palindrome (4186556814).

The spelling of 4104412800 in words is "four billion, one hundred four million, four hundred twelve thousand, eight hundred".