41530320 has 400 divisors, whose sum is σ = 170145360. Its totient is φ = 9289728.

The previous prime is 41530301. The next prime is 41530339. The reversal of 41530320 is 2303514.

It is an interprime number because it is at equal distance from previous prime (41530301) and next prime (41530339).

It can be written as a sum of positive squares in 8 ways, for example, as 467856 + 41062464 = 684^2 + 6408^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 41530293 and 41530302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1432066 + ... + 1432094.

Almost surely, 2^41530320 is an apocalyptic number.

41530320 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 41530320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85072680).

41530320 is an abundant number, since it is smaller than the sum of its proper divisors (128615040).

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

41530320 is a wasteful number, since it uses less digits than its factorization.

41530320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 41530320 is about 6444.4022220839. The cubic root of 41530320 is about 346.3020739537.

Adding to 41530320 its reverse (2303514), we get a palindrome (43833834).

The spelling of 41530320 in words is "forty-one million, five hundred thirty thousand, three hundred twenty".