41081600 has 162 divisors, whose sum is σ = 119187684. Its totient is φ = 13977600.

The previous prime is 41081567. The next prime is 41081647. The reversal of 41081600 is 618014.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 17 ways as a sum of consecutive naturals, for example, 313535 + ... + 313665.

Almost surely, 2^41081600 is an apocalyptic number.

41081600 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 41081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59593842).

41081600 is an abundant number, since it is smaller than the sum of its proper divisors (78106084).

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

41081600 is a wasteful number, since it uses less digits than its factorization.

41081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 41081600 is about 6409.4929596654. The cubic root of 41081600 is about 345.0503322212.

Adding to 41081600 its reverse (618014), we get a palindrome (41699614).

It can be divided in two parts, 4 and 1081600, that multiplied together give a square (4326400 = 2080²).

The spelling of 41081600 in words is "forty-one million, eighty-one thousand, six hundred".