41719680 has 96 divisors (see below), whose sum is σ = 144083160. Its totient is φ = 11123712.

The previous prime is 41719679. The next prime is 41719721. The reversal of 41719680 is 8691714.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2139 + ... + 9381.

Almost surely, 2^41719680 is an apocalyptic number.

41719680 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 41719680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72041580).

41719680 is an abundant number, since it is smaller than the sum of its proper divisors (102363480).

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

41719680 is a wasteful number, since it uses less digits than its factorization.

41719680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7268 (or 7253 counting only the distinct ones).

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

The square root of 41719680 is about 6459.0773334897. The cubic root of 41719680 is about 346.8276044326.

The spelling of 41719680 in words is "forty-one million, seven hundred nineteen thousand, six hundred eighty".