419486966220 has 768 divisors, whose sum is σ = 1521657446400. Its totient is φ = 84188160000.

The previous prime is 419486966219. The next prime is 419486966231. The reversal of 419486966220 is 22669684914.

419486966220 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 598411870 + ... + 598412570.

It is an arithmetic number, because the mean of its divisors is an integer number (1981324800).

Almost surely, 2^419486966220 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 419486966220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760828723200).

419486966220 is an abundant number, since it is smaller than the sum of its proper divisors (1102170480180).

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

419486966220 is a wasteful number, since it uses less digits than its factorization.

419486966220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 57.

The spelling of 419486966220 in words is "four hundred nineteen billion, four hundred eighty-six million, nine hundred sixty-six thousand, two hundred twenty".