4002040040 has 32 divisors (see below), whose sum is σ = 9534273480. Its totient is φ = 1506650112.

The previous prime is 4002040039. The next prime is 4002040109. The reversal of 4002040040 is 400402004.

It can be written as a sum of positive squares in 4 ways, for example, as 2926593604 + 1075446436 = 54098^2 + 32794^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4002039997 and 4002040024.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2941997 + ... + 2943356.

Almost surely, 2^4002040040 is an apocalyptic number.

4002040040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4002040040 is an abundant number, since it is smaller than the sum of its proper divisors (5532233440).

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

4002040040 is a wasteful number, since it uses less digits than its factorization.

4002040040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5885381 (or 5885377 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 4002040040 is about 63261.6790798347. The cubic root of 4002040040 is about 1587.6708695737.

Adding to 4002040040 its reverse (400402004), we get a palindrome (4402442044).

The spelling of 4002040040 in words is "four billion, two million, forty thousand, forty", and thus it is an eban number.