41582040 has 64 divisors (see below), whose sum is σ = 125215200. Its totient is φ = 11046912.

The previous prime is 41582029. The next prime is 41582071. The reversal of 41582040 is 4028514.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 41582040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44296 + ... + 45224.

Almost surely, 2^41582040 is an apocalyptic number.

41582040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41582040 is an abundant number, since it is smaller than the sum of its proper divisors (83633160).

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

41582040 is a wasteful number, since it uses less digits than its factorization.

41582040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 41582040 is about 6448.4137584370. The cubic root of 41582040 is about 346.4457706820.

The spelling of 41582040 in words is "forty-one million, five hundred eighty-two thousand, forty".