4004400040 has 32 divisors (see below), whose sum is σ = 9320589000. Its totient is φ = 1546526464.

The previous prime is 4004400007. The next prime is 4004400053. The reversal of 4004400040 is 400044004.

It can be written as a sum of positive squares in 4 ways, for example, as 3370266916 + 634133124 = 58054^2 + 25182^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4004399987 and 4004400023.

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, 1724875 + ... + 1727194.

Almost surely, 2^4004400040 is an apocalyptic number.

4004400040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004400040 is an abundant number, since it is smaller than the sum of its proper divisors (5316188960).

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

4004400040 is a wasteful number, since it uses less digits than its factorization.

4004400040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3452109 (or 3452105 counting only the distinct ones).

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

The square root of 4004400040 is about 63280.3290130511. The cubic root of 4004400040 is about 1587.9828910211.

Adding to 4004400040 its reverse (400044004), we get a palindrome (4404444044).

The spelling of 4004400040 in words is "four billion, four million, four hundred thousand, forty".