4112400 has 120 divisors (see below), whose sum is σ = 13838400. Its totient is φ = 1041920.

The previous prime is 4112399. The next prime is 4112413. The reversal of 4112400 is 42114.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27526 + ... + 27674.

It is an arithmetic number, because the mean of its divisors is an integer number (115320).

Almost surely, 2^4112400 is an apocalyptic number.

4112400 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 4112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6919200).

4112400 is an abundant number, since it is smaller than the sum of its proper divisors (9726000).

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

4112400 is a wasteful number, since it uses less digits than its factorization.

4112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 4112400 is about 2027.9053232338. The cubic root of 4112400 is about 160.2132572987.

Adding to 4112400 its reverse (42114), we get a palindrome (4154514).

The spelling of 4112400 in words is "four million, one hundred twelve thousand, four hundred".