41616640 has 144 divisors (see below), whose sum is σ = 111774096. Its totient is φ = 14745600.

The previous prime is 41616623. The next prime is 41616677. The reversal of 41616640 is 4661614.

It can be written as a sum of positive squares in 8 ways, for example, as 23503104 + 18113536 = 4848^2 + 4256^2 .

It is a junction number, because it is equal to n+sod(n) for n = 41616599 and 41616608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 682210 + ... + 682270.

It is an arithmetic number, because the mean of its divisors is an integer number (776209).

Almost surely, 2^41616640 is an apocalyptic number.

41616640 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 41616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55887048).

41616640 is an abundant number, since it is smaller than the sum of its proper divisors (70157456).

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

41616640 is a wasteful number, since it uses less digits than its factorization.

41616640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 41616640 is about 6451.0960309082. The cubic root of 41616640 is about 346.5418353968.

It can be divided in two parts, 4161 and 6640, that added together give a palindrome (10801).

The spelling of 41616640 in words is "forty-one million, six hundred sixteen thousand, six hundred forty".