4100413200 has 180 divisors, whose sum is σ = 14223799440. Its totient is φ = 1009282560.

The previous prime is 4100413181. The next prime is 4100413217. The reversal of 4100413200 is 23140014.

4100413200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4100413200.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 192691 + ... + 212909.

It is an arithmetic number, because the mean of its divisors is an integer number (79021108).

Almost surely, 2^4100413200 is an apocalyptic number.

4100413200 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 4100413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7111899720).

4100413200 is an abundant number, since it is smaller than the sum of its proper divisors (10123386240).

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

4100413200 is a wasteful number, since it uses less digits than its factorization.

4100413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20266 (or 20242 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4100413200 is about 64034.4688429599. The cubic root of 4100413200 is about 1600.5744291614.

Adding to 4100413200 its reverse (23140014), we get a palindrome (4123553214).

The spelling of 4100413200 in words is "four billion, one hundred million, four hundred thirteen thousand, two hundred".