4114000 has 120 divisors (see below), whose sum is σ = 11577384. Its totient is φ = 1408000.

The previous prime is 4113997. The next prime is 4114003. The reversal of 4114000 is 4114.

4114000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4113997) and next prime (4114003).

It can be written as a sum of positive squares in 4 ways, for example, as 17424 + 4096576 = 132^2 + 2024^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4114003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241992 + ... + 242008.

Almost surely, 2^4114000 is an apocalyptic number.

4114000 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 4114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5788692).

4114000 is an abundant number, since it is smaller than the sum of its proper divisors (7463384).

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

4114000 is a wasteful number, since it uses less digits than its factorization.

4114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 4114000 is about 2028.2997806044. The cubic root of 4114000 is about 160.2340325130.

Adding to 4114000 its reverse (4114), we get a palindrome (4118114).

4114000 divided by its reverse (4114) gives a cube (1000 = 10³).

It can be divided in two parts, 41 and 14000, that added together give a palindrome (14041).

The spelling of 4114000 in words is "four million, one hundred fourteen thousand".