419989906336 has 192 divisors, whose sum is σ = 1175489521920. Its totient is φ = 142160117760.

The previous prime is 419989906321. The next prime is 419989906337. The reversal of 419989906336 is 633609989914.

It is not an unprimeable number, because it can be changed into a prime (419989906337) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 158910 + ... + 930178.

It is an arithmetic number, because the mean of its divisors is an integer number (6122341260).

Almost surely, 2^419989906336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419989906336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587744760960).

419989906336 is an abundant number, since it is smaller than the sum of its proper divisors (755499615584).

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

419989906336 is a wasteful number, since it uses less digits than its factorization.

419989906336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771327 (or 771319 counting only the distinct ones).

The product of its (nonzero) digits is 68024448, while the sum is 67.

The spelling of 419989906336 in words is "four hundred nineteen billion, nine hundred eighty-nine million, nine hundred six thousand, three hundred thirty-six".