44122144 has 48 divisors (see below), whose sum is σ = 95467680. Its totient is φ = 19906560.

The previous prime is 44122103. The next prime is 44122151.

44122144 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 7 ways as a sum of consecutive naturals, for example, 56992 + ... + 57760.

It is an arithmetic number, because the mean of its divisors is an integer number (1988910).

Almost surely, 2^44122144 is an apocalyptic number.

44122144 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 44122144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47733840).

44122144 is an abundant number, since it is smaller than the sum of its proper divisors (51345536).

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

44122144 is a wasteful number, since it uses less digits than its factorization.

44122144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 945 counting only the distinct ones).

The product of its digits is 1024, while the sum is 22.

The square root of 44122144 is about 6642.4501503587. The cubic root of 44122144 is about 353.3612066141.

It can be divided in two parts, 4412 and 2144, that added together give a palindrome (6556).

The spelling of 44122144 in words is "forty-four million, one hundred twenty-two thousand, one hundred forty-four".