4041408 has 112 divisors (see below), whose sum is σ = 12744704. Its totient is φ = 1105920.

The previous prime is 4041407. The next prime is 4041413. The reversal of 4041408 is 8041404.

4041408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (4041407) 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 15 ways as a sum of consecutive naturals, for example, 41616 + ... + 41712.

It is an arithmetic number, because the mean of its divisors is an integer number (113792).

Almost surely, 2^4041408 is an apocalyptic number.

4041408 is a gapful number since it is divisible by the number (48) 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 4041408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6372352).

4041408 is an abundant number, since it is smaller than the sum of its proper divisors (8703296).

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

4041408 is a wasteful number, since it uses less digits than its factorization.

4041408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 4041408 is about 2010.3253468033. The cubic root of 4041408 is about 159.2859850480.

The spelling of 4041408 in words is "four million, forty-one thousand, four hundred eight".