41410330400 has 144 divisors (see below), whose sum is σ = 102749939208. Its totient is φ = 16293888000.

The previous prime is 41410330399. The next prime is 41410330421. The reversal of 41410330400 is 403301414.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1336336 + 41408994064 = 1156^2 + 203492^2 .

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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30425720 + ... + 30427080.

Almost surely, 2^41410330400 is an apocalyptic number.

41410330400 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 41410330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51374969604).

41410330400 is an abundant number, since it is smaller than the sum of its proper divisors (61339608808).

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

41410330400 is a wasteful number, since it uses less digits than its factorization.

41410330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 41410330400 its reverse (403301414), we get a palindrome (41813631814).

The spelling of 41410330400 in words is "forty-one billion, four hundred ten million, three hundred thirty thousand, four hundred".