419478740208 has 720 divisors, whose sum is σ = 1435595616000. Its totient is φ = 113710417920.

The previous prime is 419478740207. The next prime is 419478740251. The reversal of 419478740208 is 802047874914.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419478740203) 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 143 ways as a sum of consecutive naturals, for example, 677671323 + ... + 677671941.

It is an arithmetic number, because the mean of its divisors is an integer number (1993882800).

Almost surely, 2^419478740208 is an apocalyptic number.

419478740208 is a gapful number since it is divisible by the number (48) 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 419478740208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717797808000).

419478740208 is an abundant number, since it is smaller than the sum of its proper divisors (1016116875792).

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

419478740208 is a wasteful number, since it uses less digits than its factorization.

419478740208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 419478740208 in words is "four hundred nineteen billion, four hundred seventy-eight million, seven hundred forty thousand, two hundred eight".