419050800000 has 1536 divisors, whose sum is σ = 1851181516800. Its totient is φ = 91238400000.

The previous prime is 419050799957. The next prime is 419050800029. The reversal of 419050800000 is 8050914.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 191 ways as a sum of consecutive naturals, for example, 1738799880 + ... + 1738800120.

It is an arithmetic number, because the mean of its divisors is an integer number (1205196300).

Almost surely, 2^419050800000 is an apocalyptic number.

419050800000 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 419050800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925590758400).

419050800000 is an abundant number, since it is smaller than the sum of its proper divisors (1432130716800).

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

419050800000 is an equidigital number, since it uses as much as digits as its factorization.

419050800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 419050800000 its reverse (8050914), we get a palindrome (419058850914).

The spelling of 419050800000 in words is "four hundred nineteen billion, fifty million, eight hundred thousand".