41934816 has 288 divisors, whose sum is σ = 155990016. Its totient is φ = 10368000.

The previous prime is 41934797. The next prime is 41934829. The reversal of 41934816 is 61843914.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 687426 + ... + 687486.

It is an arithmetic number, because the mean of its divisors is an integer number (541632).

Almost surely, 2^41934816 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 41934816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77995008).

41934816 is an abundant number, since it is smaller than the sum of its proper divisors (114055200).

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

41934816 is a wasteful number, since it uses less digits than its factorization.

41934816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 115 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 41934816 is about 6475.7096908370. The cubic root of 41934816 is about 347.4227449330.

It can be divided in two parts, 4193 and 4816, that added together give a palindrome (9009).

The spelling of 41934816 in words is "forty-one million, nine hundred thirty-four thousand, eight hundred sixteen".