41181888 has 224 divisors, whose sum is σ = 133429248. Its totient is φ = 11059200.

The previous prime is 41181887. The next prime is 41181923. The reversal of 41181888 is 88818114.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (41181883) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1113006 + ... + 1113042.

Almost surely, 2^41181888 is an apocalyptic number.

41181888 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 41181888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66714624).

41181888 is an abundant number, since it is smaller than the sum of its proper divisors (92247360).

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

41181888 is a wasteful number, since it uses less digits than its factorization.

41181888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 101 counting only the distinct ones).

The product of its digits is 16384, while the sum is 39.

The square root of 41181888 is about 6417.3115866381. The cubic root of 41181888 is about 345.3308818849.

It can be divided in two parts, 4118 and 1888, that added together give a palindrome (6006).

The spelling of 41181888 in words is "forty-one million, one hundred eighty-one thousand, eight hundred eighty-eight".