44121168 has 270 divisors, whose sum is σ = 159740334. Its totient is φ = 11321856.

The previous prime is 44121167. The next prime is 44121227. The reversal of 44121168 is 86112144.

It is a happy number.

44121168 is a `hidden beast` number, since 441 + 211 + 6 + 8 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2286144 + 41835024 = 1512^2 + 6468^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44121163) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1192446 + ... + 1192482.

Almost surely, 2^44121168 is an apocalyptic number.

44121168 is a gapful number since it is divisible by the number (48) 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 44121168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79870167).

44121168 is an abundant number, since it is smaller than the sum of its proper divisors (115619166).

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

44121168 is a wasteful number, since it uses less digits than its factorization.

44121168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 62 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 44121168 is about 6642.3766830857. The cubic root of 44121168 is about 353.3586010964.

It can be divided in two parts, 441 and 21168, that added together give a square (21609 = 147²).

The spelling of 44121168 in words is "forty-four million, one hundred twenty-one thousand, one hundred sixty-eight".