41222144 has 68 divisors (see below), whose sum is σ = 89652564. Its totient is φ = 18874368.

The previous prime is 41222143. The next prime is 41222147. The reversal of 41222144 is 44122214.

It can be written as a sum of positive squares in 2 ways, for example, as 34668544 + 6553600 = 5888^2 + 2560^2 .

It is a tau number, because it is divible by the number of its divisors (68).

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41222143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1114094 + ... + 1114130.

Almost surely, 2^41222144 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 41222144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44826282).

41222144 is an abundant number, since it is smaller than the sum of its proper divisors (48430420).

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

41222144 is an frugal number, since it uses more digits than its factorization.

41222144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 56 counting only the distinct ones).

The product of its digits is 512, while the sum is 20.

The square root of 41222144 is about 6420.4473364400. The cubic root of 41222144 is about 345.4433675221.

Adding to 41222144 its reverse (44122214), we get a palindrome (85344358).

The spelling of 41222144 in words is "forty-one million, two hundred twenty-two thousand, one hundred forty-four".