41884128 has 240 divisors, whose sum is σ = 145995696. Its totient is φ = 11612160.

The previous prime is 41884123. The next prime is 41884153. The reversal of 41884128 is 82148814.

It is a happy number.

41884128 is a nontrivial binomial coefficient, being equal to C(9153, 2).

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 junction number, because it is equal to n+sod(n) for n = 41884092 and 41884101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41884121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 370600 + ... + 370712.

Almost surely, 2^41884128 is an apocalyptic number.

41884128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

41884128 is the 9152-nd triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41884128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72997848).

41884128 is an abundant number, since it is smaller than the sum of its proper divisors (104111568).

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

41884128 is a wasteful number, since it uses less digits than its factorization.

41884128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 142 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The square root of 41884128 is about 6471.7948051526. The cubic root of 41884128 is about 347.2827080387.

The spelling of 41884128 in words is "forty-one million, eight hundred eighty-four thousand, one hundred twenty-eight".