41782240 has 48 divisors (see below), whose sum is σ = 101022768. Its totient is φ = 16321536.

The previous prime is 41782229. The next prime is 41782249. The reversal of 41782240 is 4228714.

It is a junction number, because it is equal to n+sod(n) for n = 41782199 and 41782208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41782249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3844 + ... + 9916.

It is an arithmetic number, because the mean of its divisors is an integer number (2104641).

Almost surely, 2^41782240 is an apocalyptic number.

41782240 is a gapful number since it is divisible by the number (40) 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 41782240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50511384).

41782240 is an abundant number, since it is smaller than the sum of its proper divisors (59240528).

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

41782240 is a wasteful number, since it uses less digits than its factorization.

41782240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6131 (or 6123 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 41782240 is about 6463.9183163156. The cubic root of 41782240 is about 347.0008775623. Note that the first 3 decimals are identical.

The spelling of 41782240 in words is "forty-one million, seven hundred eighty-two thousand, two hundred forty".