4004440444040 has 16 divisors (see below), whose sum is σ = 9009990999180. Its totient is φ = 1601776177600.

The previous prime is 4004440444027. The next prime is 4004440444057. The reversal of 4004440444040 is 404440444004.

It can be written as a sum of positive squares in 2 ways, for example, as 3969968580484 + 34471863556 = 1992478^2 + 185666^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4004440443988 and 4004440444006.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50055505511 + ... + 50055505590.

Almost surely, 2^{4004440444040} is an apocalyptic number.

4004440444040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004440444040 is an abundant number, since it is smaller than the sum of its proper divisors (5005550555140).

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

4004440444040 is a wasteful number, since it uses less digits than its factorization.

4004440444040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100111011112 (or 100111011108 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 4004440444040 its reverse (404440444004), we get a palindrome (4408880888044).

The spelling of 4004440444040 in words is "four trillion, four billion, four hundred forty million, four hundred forty-four thousand, forty".