41628240 has 240 divisors, whose sum is σ = 156686400. Its totient is φ = 9842688.

The previous prime is 41628233. The next prime is 41628271. The reversal of 41628240 is 4282614.

41628240 is a `hidden beast` number, since 416 + 2 + 8 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232471 + ... + 232649.

It is an arithmetic number, because the mean of its divisors is an integer number (652860).

Almost surely, 2^41628240 is an apocalyptic number.

41628240 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 41628240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78343200).

41628240 is an abundant number, since it is smaller than the sum of its proper divisors (115058160).

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

41628240 is a wasteful number, since it uses less digits than its factorization.

41628240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 41628240 is about 6451.9950402957. The cubic root of 41628240 is about 346.5740301459.

The spelling of 41628240 in words is "forty-one million, six hundred twenty-eight thousand, two hundred forty".