414143344000 has 256 divisors, whose sum is σ = 1045532966400. Its totient is φ = 163120742400.

The previous prime is 414143343983. The next prime is 414143344001. The reversal of 414143344000 is 443341414.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 414143344000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414143344001) 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 31 ways as a sum of consecutive naturals, for example, 479887569 + ... + 479888431.

It is an arithmetic number, because the mean of its divisors is an integer number (4084113150).

Almost surely, 2^414143344000 is an apocalyptic number.

414143344000 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 414143344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522766483200).

414143344000 is an abundant number, since it is smaller than the sum of its proper divisors (631389622400).

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

414143344000 is an equidigital number, since it uses as much as digits as its factorization.

414143344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1296 counting only the distinct ones).

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

Adding to 414143344000 its reverse (443341414), we get a palindrome (414586685414).

The spelling of 414143344000 in words is "four hundred fourteen billion, one hundred forty-three million, three hundred forty-four thousand".