44004066040044 has 72 divisors (see below), whose sum is σ = 123333800662800. Its totient is φ = 13115966025600.

The previous prime is 44004066039977. The next prime is 44004066040049.

44004066040044 is a `hidden beast` number, since 4 + 4 + 0 + 0 + 4 + 0 + 6 + 604 + 0 + 0 + 44 = 666.

44004066040044 is nontrivially palindromic in base 10.

44004066040044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 44004066039990 and 44004066040008.

It is not an unprimeable number, because it can be changed into a prime (44004066040049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 910806819 + ... + 910855130.

It is an arithmetic number, because the mean of its divisors is an integer number (1712969453650).

Almost surely, 2^{44004066040044} is an apocalyptic number.

44004066040044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44004066040044 is an abundant number, since it is smaller than the sum of its proper divisors (79329734622756).

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

44004066040044 is a wasteful number, since it uses less digits than its factorization.

44004066040044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821662031 (or 1821662026 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 44004066040044 in words is "forty-four trillion, four billion, sixty-six million, forty thousand, forty-four", and thus it is an eban number.