41791680 has 224 divisors, whose sum is σ = 168737280. Its totient is φ = 9538560.

The previous prime is 41791637. The next prime is 41791691. The reversal of 41791680 is 8619714.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60135 + ... + 60825.

Almost surely, 2^41791680 is an apocalyptic number.

41791680 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 41791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84368640).

41791680 is an abundant number, since it is smaller than the sum of its proper divisors (126945600).

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

41791680 is a wasteful number, since it uses less digits than its factorization.

41791680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 41791680 is about 6464.6484823229. The cubic root of 41791680 is about 347.0270086140.

The spelling of 41791680 in words is "forty-one million, seven hundred ninety-one thousand, six hundred eighty".