41414334400040 has 48 divisors (see below), whose sum is σ = 108395681368500. Its totient is φ = 14199200365056.

The previous prime is 41414334400003. The next prime is 41414334400057. The reversal of 41414334400040 is 4000443341414.

It can be written as a sum of positive squares in 2 ways, for example, as 41414295935236 + 38464804 = 6435394^2 + 6202^2 .

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 11 ways as a sum of consecutive naturals, for example, 10564879265 + ... + 10564883184.

Almost surely, 2^{41414334400040} is an apocalyptic number.

41414334400040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41414334400040 is an abundant number, since it is smaller than the sum of its proper divisors (66981346968460).

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

41414334400040 is a wasteful number, since it uses less digits than its factorization.

41414334400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21129762474 (or 21129762463 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 41414334400040 its reverse (4000443341414), we get a palindrome (45414777741454).

The spelling of 41414334400040 in words is "forty-one trillion, four hundred fourteen billion, three hundred thirty-four million, four hundred thousand, forty".