41414334400 has 168 divisors, whose sum is σ = 103475698560. Its totient is φ = 16312074240.

The previous prime is 41414334391. The next prime is 41414334419. The reversal of 41414334400 is 443341414.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47988369 + ... + 47989231.

Almost surely, 2^41414334400 is an apocalyptic number.

41414334400 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 41414334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51737849280).

41414334400 is an abundant number, since it is smaller than the sum of its proper divisors (62061364160).

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

41414334400 is a wasteful number, since it uses less digits than its factorization.

41414334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 41414334400 its reverse (443341414), we get a palindrome (41857675814).

The spelling of 41414334400 in words is "forty-one billion, four hundred fourteen million, three hundred thirty-four thousand, four hundred".