4105204000 has 96 divisors (see below), whose sum is σ = 10122368256. Its totient is φ = 1636243200.

The previous prime is 4105203989. The next prime is 4105204021. The reversal of 4105204000 is 4025014.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1226329 + ... + 1229671.

It is an arithmetic number, because the mean of its divisors is an integer number (105441336).

Almost surely, 2^4105204000 is an apocalyptic number.

4105204000 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 4105204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5061184128).

4105204000 is an abundant number, since it is smaller than the sum of its proper divisors (6017164256).

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

4105204000 is a wasteful number, since it uses less digits than its factorization.

4105204000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3675 (or 3657 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 4105204000 is about 64071.8659007212. The cubic root of 4105204000 is about 1601.1975409612.

Adding to 4105204000 its reverse (4025014), we get a palindrome (4109229014).

The spelling of 4105204000 in words is "four billion, one hundred five million, two hundred four thousand".