41116416 has 144 divisors (see below), whose sum is σ = 124013568. Its totient is φ = 11980800.

The previous prime is 41116409. The next prime is 41116417. The reversal of 41116416 is 61461114.

It is a super-3 number, since 3×41116416³ (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (41116417) 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, 261810 + ... + 261966.

Almost surely, 2^41116416 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 41116416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62006784).

41116416 is an abundant number, since it is smaller than the sum of its proper divisors (82897152).

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

41116416 is a wasteful number, since it uses less digits than its factorization.

41116416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 204 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 41116416 is about 6412.2083559410. The cubic root of 41116416 is about 345.1477795802.

The spelling of 41116416 in words is "forty-one million, one hundred sixteen thousand, four hundred sixteen".