41149152 has 144 divisors (see below), whose sum is σ = 132088320. Its totient is φ = 12038400.

The previous prime is 41149127. The next prime is 41149153. The reversal of 41149152 is 25194114.

41149152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41149153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97999 + ... + 98417.

It is an arithmetic number, because the mean of its divisors is an integer number (917280).

Almost surely, 2^41149152 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 41149152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66044160).

41149152 is an abundant number, since it is smaller than the sum of its proper divisors (90939168).

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

41149152 is a wasteful number, since it uses less digits than its factorization.

41149152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 466 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 41149152 is about 6414.7604787708. The cubic root of 41149152 is about 345.2393550103.

The spelling of 41149152 in words is "forty-one million, one hundred forty-nine thousand, one hundred fifty-two".