41981184 has 216 divisors, whose sum is σ = 146677440. Its totient is φ = 11280384.

The previous prime is 41981179. The next prime is 41981189. The reversal of 41981184 is 48118914.

It is an interprime number because it is at equal distance from previous prime (41981179) and next prime (41981189).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41981189) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306364 + ... + 306500.

Almost surely, 2^41981184 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 41981184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73338720).

41981184 is an abundant number, since it is smaller than the sum of its proper divisors (104696256).

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

41981184 is a wasteful number, since it uses less digits than its factorization.

41981184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 168 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 41981184 is about 6479.2888498662. The cubic root of 41981184 is about 347.5507480705.

Adding to 41981184 its product of digits (9216), we get a square (41990400 = 6480²).

The spelling of 41981184 in words is "forty-one million, nine hundred eighty-one thousand, one hundred eighty-four".