41164224 has 56 divisors (see below), whose sum is σ = 112684560. Its totient is φ = 13246464.

The previous prime is 41164219. The next prime is 41164231. The reversal of 41164224 is 42246114.

It is a happy number.

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 plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 41164194 and 41164203.

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 7 ways as a sum of consecutive naturals, for example, 1872 + ... + 9264.

Almost surely, 2^41164224 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 41164224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56342280).

41164224 is an abundant number, since it is smaller than the sum of its proper divisors (71520336).

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

41164224 is a wasteful number, since it uses less digits than its factorization.

41164224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7437 (or 7427 counting only the distinct ones).

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

The square root of 41164224 is about 6415.9351617671. The cubic root of 41164224 is about 345.2815009771.

The spelling of 41164224 in words is "forty-one million, one hundred sixty-four thousand, two hundred twenty-four".