4011120 has 100 divisors (see below), whose sum is σ = 13953720. Its totient is φ = 1067904.

The previous prime is 4011113. The next prime is 4011127. The reversal of 4011120 is 211104.

It is a happy number.

4011120 is digitally balanced in base 2 and base 5, because in such bases 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 (4011113) and next prime (4011127).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4011127) 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 19 ways as a sum of consecutive naturals, for example, 6171 + ... + 6789.

Almost surely, 2^4011120 is an apocalyptic number.

4011120 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 4011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6976860).

4011120 is an abundant number, since it is smaller than the sum of its proper divisors (9942600).

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

4011120 is a wasteful number, since it uses less digits than its factorization.

4011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 4011120 is about 2002.7780705810. The cubic root of 4011120 is about 158.8870682592.

Adding to 4011120 its reverse (211104), we get a palindrome (4222224).

It can be divided in two parts, 401 and 1120, that added together give a square (1521 = 39²).

The spelling of 4011120 in words is "four million, eleven thousand, one hundred twenty".