4004040040 has 192 divisors, whose sum is σ = 12189098880. Its totient is φ = 1151884800.

The previous prime is 4004040017. The next prime is 4004040043. The reversal of 4004040040 is 400404004.

It is a junction number, because it is equal to n+sod(n) for n = 4004039996 and 4004040023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004040043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 435895 + ... + 444985.

It is an arithmetic number, because the mean of its divisors is an integer number (63484890).

Almost surely, 2^4004040040 is an apocalyptic number.

4004040040 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 4004040040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6094549440).

4004040040 is an abundant number, since it is smaller than the sum of its proper divisors (8185058840).

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

4004040040 is a wasteful number, since it uses less digits than its factorization.

4004040040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9144 (or 9129 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 4004040040 is about 63277.4844632749. The cubic root of 4004040040 is about 1587.9353024546.

Adding to 4004040040 its reverse (400404004), we get a palindrome (4404444044).

The spelling of 4004040040 in words is "four billion, four million, forty thousand, forty", and thus it is an eban number.