41967816 has 64 divisors (see below), whose sum is σ = 116121600. Its totient is φ = 12532800.

The previous prime is 41967799. The next prime is 41967829. The reversal of 41967816 is 61876914.

It is a super-2 number, since 2×41967816² = 3522595159619712, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17625 + ... + 19863.

It is an arithmetic number, because the mean of its divisors is an integer number (1814400).

Almost surely, 2^41967816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41967816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58060800).

41967816 is an abundant number, since it is smaller than the sum of its proper divisors (74153784).

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

41967816 is a wasteful number, since it uses less digits than its factorization.

41967816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330 (or 2326 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 41967816 is about 6478.2571730366. The cubic root of 41967816 is about 347.5138541481.

The spelling of 41967816 in words is "forty-one million, nine hundred sixty-seven thousand, eight hundred sixteen".