41424032404000 has 96 divisors (see below), whose sum is σ = 101901628810800. Its totient is φ = 16549624166400.

The previous prime is 41424032403977. The next prime is 41424032404009. The reversal of 41424032404000 is 40423042414.

It can be written as a sum of positive squares in 8 ways, for example, as 677309248144 + 40746723155856 = 822988^2 + 6383316^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 41424032404000.

It is not an unprimeable number, because it can be changed into a prime (41424032404009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2930085 + ... + 9562084.

Almost surely, 2^{41424032404000} is an apocalyptic number.

41424032404000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41424032404000 is an abundant number, since it is smaller than the sum of its proper divisors (60477596406800).

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

41424032404000 is a wasteful number, since it uses less digits than its factorization.

41424032404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12493023 (or 12493005 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 41424032404000 its reverse (40423042414), we get a palindrome (41464455446414).

The spelling of 41424032404000 in words is "forty-one trillion, four hundred twenty-four billion, thirty-two million, four hundred four thousand".