4444004400040 has 64 divisors (see below), whose sum is σ = 10009899000000. Its totient is φ = 1775666780160.

The previous prime is 4444004400023. The next prime is 4444004400067. The reversal of 4444004400040 is 400044004444.

It is a junction number, because it is equal to n+sod(n) for n = 4444004399981 and 4444004400008.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206773695 + ... + 206795185.

It is an arithmetic number, because the mean of its divisors is an integer number (156404671875).

Almost surely, 2^{4444004400040} is an apocalyptic number.

4444004400040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4444004400040 is an abundant number, since it is smaller than the sum of its proper divisors (5565894599960).

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

4444004400040 is a wasteful number, since it uses less digits than its factorization.

4444004400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26890 (or 26886 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 4444004400040 its reverse (400044004444), we get a palindrome (4844048404484).

The spelling of 4444004400040 in words is "four trillion, four hundred forty-four billion, four million, four hundred thousand, forty".