4113804800 has 240 divisors, whose sum is σ = 11898717600. Its totient is φ = 1408942080.

The previous prime is 4113804791. The next prime is 4113804809. The reversal of 4113804800 is 84083114.

It is an interprime number because it is at equal distance from previous prime (4113804791) and next prime (4113804809).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4113804809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4389932 + ... + 4390868.

It is an arithmetic number, because the mean of its divisors is an integer number (49577990).

Almost surely, 2^4113804800 is an apocalyptic number.

4113804800 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 4113804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5949358800).

4113804800 is an abundant number, since it is smaller than the sum of its proper divisors (7784912800).

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

4113804800 is an frugal number, since it uses more digits than its factorization.

4113804800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 4113804800 is about 64138.9491650744. The cubic root of 4113804800 is about 1602.3149822537.

Adding to 4113804800 its reverse (84083114), we get a palindrome (4197887914).

The spelling of 4113804800 in words is "four billion, one hundred thirteen million, eight hundred four thousand, eight hundred".