44122422144 has 64 divisors (see below), whose sum is σ = 117333815040. Its totient is φ = 14690704896.

The previous prime is 44122422103. The next prime is 44122422151.

44122422144 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 274009 + ... + 404135.

It is an arithmetic number, because the mean of its divisors is an integer number (1833340860).

Almost surely, 2^44122422144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44122422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58666907520).

44122422144 is an abundant number, since it is smaller than the sum of its proper divisors (73211392896).

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

44122422144 is a wasteful number, since it uses less digits than its factorization.

44122422144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131027 (or 131015 counting only the distinct ones).

The product of its digits is 16384, while the sum is 30.

The spelling of 44122422144 in words is "forty-four billion, one hundred twenty-two million, four hundred twenty-two thousand, one hundred forty-four".