4114400 has 72 divisors (see below), whose sum is σ = 10389960. Its totient is φ = 1589760.

The previous prime is 4114373. The next prime is 4114421. The reversal of 4114400 is 44114.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29531 + ... + 29669.

It is an arithmetic number, because the mean of its divisors is an integer number (144305).

Almost surely, 2^4114400 is an apocalyptic number.

4114400 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 4114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5194980).

4114400 is an abundant number, since it is smaller than the sum of its proper divisors (6275560).

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

4114400 is a wasteful number, since it uses less digits than its factorization.

4114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 4114400 is about 2028.3983829613. The cubic root of 4114400 is about 160.2392254749.

Adding to 4114400 its reverse (44114), we get a palindrome (4158514).

It can be divided in two parts, 41 and 14400, that added together give a palindrome (14441).

The spelling of 4114400 in words is "four million, one hundred fourteen thousand, four hundred".