4041312 has 96 divisors (see below), whose sum is σ = 11975040. Its totient is φ = 1182720.

The previous prime is 4041299. The next prime is 4041343. The reversal of 4041312 is 2131404.

4041312 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 (96).

It is a junction number, because it is equal to n+sod(n) for n = 4041291 and 4041300.

It is a congruent number.

It is an unprimeable number.

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, 45364 + ... + 45452.

It is an arithmetic number, because the mean of its divisors is an integer number (124740).

Almost surely, 2^4041312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4041312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5987520).

4041312 is an abundant number, since it is smaller than the sum of its proper divisors (7933728).

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

4041312 is a wasteful number, since it uses less digits than its factorization.

4041312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4041312 is about 2010.3014699293. The cubic root of 4041312 is about 159.2847238064.

Adding to 4041312 its reverse (2131404), we get a palindrome (6172716).

The spelling of 4041312 in words is "four million, forty-one thousand, three hundred twelve".