4114800 has 150 divisors (see below), whose sum is σ = 14883968. Its totient is φ = 1088640.

The previous prime is 4114787. The next prime is 4114819. The reversal of 4114800 is 84114.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 32337 + ... + 32463.

Almost surely, 2^4114800 is an apocalyptic number.

4114800 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 4114800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7441984).

4114800 is an abundant number, since it is smaller than the sum of its proper divisors (10769168).

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

4114800 is a wasteful number, since it uses less digits than its factorization.

4114800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 4114800 is about 2028.4969805252. The cubic root of 4114800 is about 160.2444181002.

Adding to 4114800 its reverse (84114), we get a palindrome (4198914).

It can be divided in two parts, 41 and 14800, that added together give a palindrome (14841).

The spelling of 4114800 in words is "four million, one hundred fourteen thousand, eight hundred".