41262144 has 112 divisors (see below), whose sum is σ = 136160256. Its totient is φ = 10713600.

The previous prime is 41262139. The next prime is 41262163. The reversal of 41262144 is 44126214.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13389 + ... + 16179.

Almost surely, 2^41262144 is an apocalyptic number.

41262144 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 41262144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68080128).

41262144 is an abundant number, since it is smaller than the sum of its proper divisors (94898112).

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

41262144 is a wasteful number, since it uses less digits than its factorization.

41262144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2824 (or 2814 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 41262144 is about 6423.5616288785. The cubic root of 41262144 is about 345.5550653170. Note that the first 3 decimals are identical.

Adding to 41262144 its reverse (44126214), we get a palindrome (85388358).

The spelling of 41262144 in words is "forty-one million, two hundred sixty-two thousand, one hundred forty-four".