41157648 has 180 divisors, whose sum is σ = 141501360. Its totient is φ = 11104128.

The previous prime is 41157647. The next prime is 41157661. The reversal of 41157648 is 84675114.

It is a happy number.

41157648 is a `hidden beast` number, since 4 + 1 + 1 + 5 + 7 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (41157643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 133911 + ... + 134217.

Almost surely, 2^41157648 is an apocalyptic number.

41157648 is a gapful number since it is divisible by the number (48) 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 41157648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70750680).

41157648 is an abundant number, since it is smaller than the sum of its proper divisors (100343712).

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

41157648 is a wasteful number, since it uses less digits than its factorization.

41157648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 338 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 41157648 is about 6415.4226672917. The cubic root of 41157648 is about 345.2631137155.

The spelling of 41157648 in words is "forty-one million, one hundred fifty-seven thousand, six hundred forty-eight".