4000440 has 128 divisors (see below), whose sum is σ = 13296960. Its totient is φ = 958464.

The previous prime is 4000439. The next prime is 4000489. The reversal of 4000440 is 440004.

4000440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an Ulam number.

4000440 is a modest number, since divided by 440 gives 400 as remainder.

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 31 ways as a sum of consecutive naturals, for example, 75454 + ... + 75506.

Almost surely, 2^4000440 is an apocalyptic number.

4000440 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 4000440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6648480).

4000440 is an abundant number, since it is smaller than the sum of its proper divisors (9296520).

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

4000440 is a wasteful number, since it uses less digits than its factorization.

4000440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 4000440 is about 2000.1099969752. The cubic root of 4000440 is about 158.7459254539.

Adding to 4000440 its reverse (440004), we get a palindrome (4440444).

The spelling of 4000440 in words is "four million, four hundred forty", and thus it is an aban number.