44040044004044 has 384 divisors, whose sum is σ = 91724242821120. Its totient is φ = 18312763392000.

The previous prime is 44040044004043. The next prime is 44040044004059.

44040044004044 is nontrivially palindromic in base 10.

44040044004044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 44040044004044.

It is not an unprimeable number, because it can be changed into a prime (44040044004043) 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 127 ways as a sum of consecutive naturals, for example, 60577776809 + ... + 60577777535.

It is an arithmetic number, because the mean of its divisors is an integer number (238865215680).

Almost surely, 2^{44040044004044} is an apocalyptic number.

44040044004044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44040044004044 is an abundant number, since it is smaller than the sum of its proper divisors (47684198817076).

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

44040044004044 is a wasteful number, since it uses less digits than its factorization.

44040044004044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1127 counting only the distinct ones).

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

It can be divided in two parts, 4404004 and 4004044, that added together give a palindrome (8408048).

The spelling of 44040044004044 in words is "forty-four trillion, forty billion, forty-four million, four thousand, forty-four", and thus it is an eban number.