41313600 has 252 divisors, whose sum is σ = 155590240. Its totient is φ = 10368000.

The previous prime is 41313599. The next prime is 41313631. The reversal of 41313600 is 631314.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 273525 + ... + 273675.

Almost surely, 2^41313600 is an apocalyptic number.

41313600 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 41313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77795120).

41313600 is an abundant number, since it is smaller than the sum of its proper divisors (114276640).

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

41313600 is a wasteful number, since it uses less digits than its factorization.

41313600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 41313600 is about 6427.5656356042. The cubic root of 41313600 is about 345.6986472512.

Adding to 41313600 its reverse (631314), we get a palindrome (41944914).

The spelling of 41313600 in words is "forty-one million, three hundred thirteen thousand, six hundred".