44122222144 has 672 divisors, whose sum is σ = 130760663040. Its totient is φ = 14306181120.

The previous prime is 44122222103. The next prime is 44122222163.

It is a happy number.

44122222144 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 347419009 + ... + 347419135.

It is an arithmetic number, because the mean of its divisors is an integer number (194584320).

Almost surely, 2^44122222144 is an apocalyptic number.

44122222144 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 44122222144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65380331520).

44122222144 is an abundant number, since it is smaller than the sum of its proper divisors (86638440896).

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

44122222144 is a wasteful number, since it uses less digits than its factorization.

44122222144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 206 counting only the distinct ones).

The product of its digits is 8192, while the sum is 28.

The spelling of 44122222144 in words is "forty-four billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred forty-four".