4115331200 has 192 divisors, whose sum is σ = 10482662400. Its totient is φ = 1595842560.

The previous prime is 4115331193. The next prime is 4115331203. The reversal of 4115331200 is 21335114.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4115331203) 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, 18454289 + ... + 18454511.

It is an arithmetic number, because the mean of its divisors is an integer number (54597200).

Almost surely, 2^4115331200 is an apocalyptic number.

4115331200 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 4115331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5241331200).

4115331200 is an abundant number, since it is smaller than the sum of its proper divisors (6367331200).

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

4115331200 is a wasteful number, since it uses less digits than its factorization.

4115331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 4115331200 is about 64150.8472274529. The cubic root of 4115331200 is about 1602.5131338655.

Adding to 4115331200 its reverse (21335114), we get a palindrome (4136666314).

The spelling of 4115331200 in words is "four billion, one hundred fifteen million, three hundred thirty-one thousand, two hundred".