44000077000044 has 384 divisors, whose sum is σ = 120061063019520. Its totient is φ = 12394561536000.

The previous prime is 44000077000013. The next prime is 44000077000091.

44000077000044 is nontrivially palindromic in base 10.

44000077000044 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44000076999975 and 44000077000020.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41864963319 + ... + 41864964369.

It is an arithmetic number, because the mean of its divisors is an integer number (312659018280).

Almost surely, 2^{44000077000044} is an apocalyptic number.

44000077000044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44000077000044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60030531509760).

44000077000044 is an abundant number, since it is smaller than the sum of its proper divisors (76060986019476).

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

44000077000044 is a wasteful number, since it uses less digits than its factorization.

44000077000044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 30.

The spelling of 44000077000044 in words is "forty-four trillion, seventy-seven million, forty-four", and thus it is an aban number.