41100816 has 80 divisors (see below), whose sum is σ = 112849920. Its totient is φ = 12862080.

The previous prime is 41100809. The next prime is 41100817. The reversal of 41100816 is 61800114.

It is a junction number, because it is equal to n+sod(n) for n = 41100792 and 41100801.

It is not an unprimeable number, because it can be changed into a prime (41100817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64821 + ... + 65451.

It is an arithmetic number, because the mean of its divisors is an integer number (1410624).

Almost surely, 2^41100816 is an apocalyptic number.

41100816 is a gapful number since it is divisible by the number (46) 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 41100816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56424960).

41100816 is an abundant number, since it is smaller than the sum of its proper divisors (71749104).

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

41100816 is a wasteful number, since it uses less digits than its factorization.

41100816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 41100816 is about 6410.9918109447. The cubic root of 41100816 is about 345.1041231612.

The spelling of 41100816 in words is "forty-one million, one hundred thousand, eight hundred sixteen".