41124144 has 40 divisors (see below), whose sum is σ = 106801200. Its totient is φ = 13635328.

The previous prime is 41124143. The next prime is 41124157. The reversal of 41124144 is 44142114.

It is a super-3 number, since 3×41124144³ (a number of 24 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 41124144.

It is not an unprimeable number, because it can be changed into a prime (41124143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7282 + ... + 11630.

It is an arithmetic number, because the mean of its divisors is an integer number (2670030).

Almost surely, 2^41124144 is an apocalyptic number.

It is an amenable number.

41124144 is an abundant number, since it is smaller than the sum of its proper divisors (65677056).

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

41124144 is a wasteful number, since it uses less digits than its factorization.

41124144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4557 (or 4551 counting only the distinct ones).

The product of its digits is 512, while the sum is 21.

The square root of 41124144 is about 6412.8109281344. The cubic root of 41124144 is about 345.1694022086.

Adding to 41124144 its reverse (44142114), we get a palindrome (85266258).

It can be divided in two parts, 4112 and 4144, that added together give a triangular number (8256 = T₁₂₈).

The spelling of 41124144 in words is "forty-one million, one hundred twenty-four thousand, one hundred forty-four".