4001080 has 32 divisors (see below), whose sum is σ = 9396000. Its totient is φ = 1530496.

The previous prime is 4001071. The next prime is 4001089. The reversal of 4001080 is 801004.

4001080 is digitally balanced in base 2, because in such base 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 (4001071) and next prime (4001089).

It is a self number, because there is not a number n which added to its sum of digits gives 4001080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001089) 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 7 ways as a sum of consecutive naturals, for example, 1255 + ... + 3094.

It is an arithmetic number, because the mean of its divisors is an integer number (293625).

Almost surely, 2^4001080 is an apocalyptic number.

4001080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4001080 is an abundant number, since it is smaller than the sum of its proper divisors (5394920).

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

4001080 is a wasteful number, since it uses less digits than its factorization.

4001080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4383 (or 4379 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 4001080 is about 2000.2699817775. The cubic root of 4001080 is about 158.7543905207.

Adding to 4001080 its reverse (801004), we get a palindrome (4802084).

The spelling of 4001080 in words is "four million, one thousand, eighty".