4104124200 has 384 divisors, whose sum is σ = 15630249600. Its totient is φ = 993772800.

The previous prime is 4104124159. The next prime is 4104124217. The reversal of 4104124200 is 24214014.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4810974 + ... + 4811826.

It is an arithmetic number, because the mean of its divisors is an integer number (40703775).

Almost surely, 2^4104124200 is an apocalyptic number.

4104124200 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 4104124200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7815124800).

4104124200 is an abundant number, since it is smaller than the sum of its proper divisors (11526125400).

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

4104124200 is a wasteful number, since it uses less digits than its factorization.

4104124200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4104124200 is about 64063.4388711689. The cubic root of 4104124200 is about 1601.0571399223.

Adding to 4104124200 its reverse (24214014), we get a palindrome (4128338214).

The spelling of 4104124200 in words is "four billion, one hundred four million, one hundred twenty-four thousand, two hundred".