4112413200 has 720 divisors, whose sum is σ = 17966856000. Its totient is φ = 888330240.

The previous prime is 4112413187. The next prime is 4112413213. The reversal of 4112413200 is 23142114.

4112413200 is a `hidden beast` number, since 41 + 12 + 413 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (4112413187) and next prime (4112413213).

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 10054596 + ... + 10055004.

Almost surely, 2^4112413200 is an apocalyptic number.

4112413200 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 4112413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8983428000).

4112413200 is an abundant number, since it is smaller than the sum of its proper divisors (13854442800).

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

4112413200 is a wasteful number, since it uses less digits than its factorization.

4112413200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4112413200 is about 64128.0999250718. The cubic root of 4112413200 is about 1602.1342871622.

Adding to 4112413200 its reverse (23142114), we get a palindrome (4135555314).

The spelling of 4112413200 in words is "four billion, one hundred twelve million, four hundred thirteen thousand, two hundred".