41557152 has 192 divisors, whose sum is σ = 138184704. Its totient is φ = 10644480.

The previous prime is 41557151. The next prime is 41557183. The reversal of 41557152 is 25175514.

It is a super-2 number, since 2×41557152² = 3453993764702208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41557151) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 585277 + ... + 585347.

It is an arithmetic number, because the mean of its divisors is an integer number (719712).

Almost surely, 2^41557152 is an apocalyptic number.

41557152 is a gapful number since it is divisible by the number (42) 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 41557152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69092352).

41557152 is an abundant number, since it is smaller than the sum of its proper divisors (96627552).

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

41557152 is a wasteful number, since it uses less digits than its factorization.

41557152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 163 counting only the distinct ones).

The product of its digits is 7000, while the sum is 30.

The square root of 41557152 is about 6446.4836926808. The cubic root of 41557152 is about 346.3766377650.

The spelling of 41557152 in words is "forty-one million, five hundred fifty-seven thousand, one hundred fifty-two".