41581540 has 192 divisors, whose sum is σ = 122830848. Its totient is φ = 11404800.

The previous prime is 41581523. The next prime is 41581549. The reversal of 41581540 is 4518514.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 41581499 and 41581508.

It is not an unprimeable number, because it can be changed into a prime (41581549) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 620587 + ... + 620653.

It is an arithmetic number, because the mean of its divisors is an integer number (639744).

Almost surely, 2^41581540 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 41581540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61415424).

41581540 is an abundant number, since it is smaller than the sum of its proper divisors (81249308).

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

41581540 is a wasteful number, since it uses less digits than its factorization.

41581540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

The square root of 41581540 is about 6448.3749890961. The cubic root of 41581540 is about 346.4443820730. Note that the first 3 decimals are identical.

It can be divided in two parts, 41 and 581540, that added together give a triangular number (581581 = T₁₀₇₈).

The spelling of 41581540 in words is "forty-one million, five hundred eighty-one thousand, five hundred forty".