41714640 has 240 divisors, whose sum is σ = 160168320. Its totient is φ = 9630720.

The previous prime is 41714639. The next prime is 41714641. The reversal of 41714640 is 4641714.

41714640 is a `hidden beast` number, since 4 + 1 + 7 + 14 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (41714639) and next prime (41714641).

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

It is a super-2 number, since 2×41714640² = 3480222380659200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41714641) 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, 182046 + ... + 182274.

It is an arithmetic number, because the mean of its divisors is an integer number (667368).

Almost surely, 2^41714640 is an apocalyptic number.

41714640 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 41714640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80084160).

41714640 is an abundant number, since it is smaller than the sum of its proper divisors (118453680).

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

41714640 is a wasteful number, since it uses less digits than its factorization.

41714640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 41714640 is about 6458.6871731026. The cubic root of 41714640 is about 346.8136375507.

The spelling of 41714640 in words is "forty-one million, seven hundred fourteen thousand, six hundred forty".