41408640 has 384 divisors, whose sum is σ = 178214400. Its totient is φ = 8626176.

The previous prime is 41408639. The next prime is 41408641. The reversal of 41408640 is 4680414.

41408640 is a `hidden beast` number, since 4 + 14 + 0 + 8 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (41408639) and next prime (41408641).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41408641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 524121 + ... + 524199.

It is an arithmetic number, because the mean of its divisors is an integer number (464100).

Almost surely, 2^41408640 is an apocalyptic number.

41408640 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 41408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89107200).

41408640 is an abundant number, since it is smaller than the sum of its proper divisors (136805760).

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

41408640 is a wasteful number, since it uses less digits than its factorization.

41408640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 109 counting only the distinct ones).

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

The square root of 41408640 is about 6434.9545452940. The cubic root of 41408640 is about 345.9635320804.

The spelling of 41408640 in words is "forty-one million, four hundred eight thousand, six hundred forty".