4118040 has 160 divisors (see below), whose sum is σ = 14636160. Its totient is φ = 1036800.

The previous prime is 4117991. The next prime is 4118057. The reversal of 4118040 is 408114.

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 39 ways as a sum of consecutive naturals, for example, 100420 + ... + 100460.

It is an arithmetic number, because the mean of its divisors is an integer number (91476).

Almost surely, 2^4118040 is an apocalyptic number.

4118040 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 4118040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7318080).

4118040 is an abundant number, since it is smaller than the sum of its proper divisors (10518120).

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

4118040 is a wasteful number, since it uses less digits than its factorization.

4118040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 82 counting only the distinct ones).

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

The square root of 4118040 is about 2029.2954442367. The cubic root of 4118040 is about 160.2864659684.

It can be divided in two parts, 41 and 18040, that added together give a palindrome (18081).

The spelling of 4118040 in words is "four million, one hundred eighteen thousand, forty".