44122422422144 has 128 divisors (see below), whose sum is σ = 97950993638400. Its totient is φ = 19624982502400.

The previous prime is 44122422422123. The next prime is 44122422422201.

44122422422144 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 44122422422098 and 44122422422107.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342131627 + ... + 342260565.

It is an arithmetic number, because the mean of its divisors is an integer number (765242137800).

Almost surely, 2^{44122422422144} is an apocalyptic number.

44122422422144 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 44122422422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48975496819200).

44122422422144 is an abundant number, since it is smaller than the sum of its proper divisors (53828571216256).

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

44122422422144 is a wasteful number, since it uses less digits than its factorization.

44122422422144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134182 (or 134170 counting only the distinct ones).

The product of its digits is 262144, while the sum is 38.

It can be divided in two parts, 4412242 and 2422144, that added together give a palindrome (6834386).

The spelling of 44122422422144 in words is "forty-four trillion, one hundred twenty-two billion, four hundred twenty-two million, four hundred twenty-two thousand, one hundred forty-four".