41616000 has 288 divisors, whose sum is σ = 158761980. Its totient is φ = 10444800.

The previous prime is 41615929. The next prime is 41616031. The reversal of 41616000 is 61614.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

41616000 is a `hidden beast` number, since 4 + 1 + 61 + 600 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 8714304 + 32901696 = 2952^2 + 5736^2 .

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

It is a hoax number, since the sum of its digits (18) 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 (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2447992 + ... + 2448008.

Almost surely, 2^41616000 is an apocalyptic number.

41616000 is a gapful number since it is divisible by the number (40) 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 41616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79380990).

41616000 is an abundant number, since it is smaller than the sum of its proper divisors (117145980).

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

41616000 is a wasteful number, since it uses less digits than its factorization.

41616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 41616000 is about 6451.0464267435. The cubic root of 41616000 is about 346.5400589606.

Adding to 41616000 its reverse (61614), we get a palindrome (41677614).

The spelling of 41616000 in words is "forty-one million, six hundred sixteen thousand".