41115648 has 112 divisors (see below), whose sum is σ = 125821440. Its totient is φ = 11698176.

The previous prime is 41115637. The next prime is 41115667. The reversal of 41115648 is 84651114.

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

It is a super-3 number, since 3×41115648³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171913 + ... + 172151.

Almost surely, 2^41115648 is an apocalyptic number.

41115648 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 41115648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62910720).

41115648 is an abundant number, since it is smaller than the sum of its proper divisors (84705792).

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

41115648 is an equidigital number, since it uses as much as digits as its factorization.

41115648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 251 counting only the distinct ones).

The product of its digits is 3840, while the sum is 30.

The square root of 41115648 is about 6412.1484698968. The cubic root of 41115648 is about 345.1456305996.

The spelling of 41115648 in words is "forty-one million, one hundred fifteen thousand, six hundred forty-eight".