41128416 has 144 divisors (see below), whose sum is σ = 139636224. Its totient is φ = 11227392.

The previous prime is 41128411. The next prime is 41128429. The reversal of 41128416 is 61482114.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 41128416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41128411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45925 + ... + 46811.

It is an arithmetic number, because the mean of its divisors is an integer number (969696).

Almost surely, 2^41128416 is an apocalyptic number.

41128416 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 41128416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69818112).

41128416 is an abundant number, since it is smaller than the sum of its proper divisors (98507808).

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

41128416 is a wasteful number, since it uses less digits than its factorization.

41128416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 922 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 41128416 is about 6413.1440027494. The cubic root of 41128416 is about 345.1813539275.

The spelling of 41128416 in words is "forty-one million, one hundred twenty-eight thousand, four hundred sixteen".