44414241444 has 18 divisors (see below), whose sum is σ = 112269332630. Its totient is φ = 14804747136.

The previous prime is 44414241437. The next prime is 44414241479.

44414241444 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 36370304100 + 8043937344 = 190710^2 + 89688^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1233728929 = 44414241444 / (4 + 4 + 4 + 1 + 4 + 2 + 4 + 1 + 4 + 4 + 4).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 44414241399 and 44414241408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 616864429 + ... + 616864500.

Almost surely, 2^44414241444 is an apocalyptic number.

It is an amenable number.

44414241444 is an abundant number, since it is smaller than the sum of its proper divisors (67855091186).

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

44414241444 is a wasteful number, since it uses less digits than its factorization.

44414241444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233728939 (or 1233728934 counting only the distinct ones).

The product of its digits is 131072, while the sum is 36.

The spelling of 44414241444 in words is "forty-four billion, four hundred fourteen million, two hundred forty-one thousand, four hundred forty-four".