4040004040 has 48 divisors (see below), whose sum is σ = 9181827540. Its totient is φ = 1599840000.

The previous prime is 4040004037. The next prime is 4040004043. The reversal of 4040004040 is 404000404.

It is an interprime number because it is at equal distance from previous prime (4040004037) and next prime (4040004043).

It can be written as a sum of positive squares in 6 ways, for example, as 4038094116 + 1909924 = 63546^2 + 1382^2 .

It is not an unprimeable number, because it can be changed into a prime (4040004043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 403090 + ... + 412990.

Almost surely, 2^4040004040 is an apocalyptic number.

4040004040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4040004040 is an abundant number, since it is smaller than the sum of its proper divisors (5141823500).

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

4040004040 is a wasteful number, since it uses less digits than its factorization.

4040004040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10114 (or 10009 counting only the distinct ones).

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

The square root of 4040004040 is about 63561.0261087720. The cubic root of 4040004040 is about 1592.6753792493.

Adding to 4040004040 its reverse (404000404), we get a palindrome (4444004444).

It can be divided in two parts, 404000 and 4040, that multiplied together give a square (1632160000 = 40400²).

The spelling of 4040004040 in words is "four billion, forty million, four thousand, forty", and thus it is an eban number.