41814144 has 160 divisors (see below), whose sum is σ = 128973900. Its totient is φ = 13436928.

The previous prime is 41814139. The next prime is 41814187. The reversal of 41814144 is 44141814.

It can be written as a sum of positive squares in 2 ways, for example, as 37454400 + 4359744 = 6120^2 + 2088^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 383562 + ... + 383670.

Almost surely, 2^41814144 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 41814144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64486950).

41814144 is an abundant number, since it is smaller than the sum of its proper divisors (87159756).

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

41814144 is a wasteful number, since it uses less digits than its factorization.

41814144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 151 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 41814144 is about 6466.3856983635. The cubic root of 41814144 is about 347.0891758393.

Adding to 41814144 its reverse (44141814), we get a palindrome (85955958).

The spelling of 41814144 in words is "forty-one million, eight hundred fourteen thousand, one hundred forty-four".