419884712960 has 352 divisors, whose sum is σ = 1076388977664. Its totient is φ = 156893184000.

The previous prime is 419884712953. The next prime is 419884712983. The reversal of 419884712960 is 69217488914.

It is a self number, because there is not a number n which added to its sum of digits gives 419884712960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 735349475 + ... + 735350045.

It is an arithmetic number, because the mean of its divisors is an integer number (3057923232).

Almost surely, 2^419884712960 is an apocalyptic number.

419884712960 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 419884712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538194488832).

419884712960 is an abundant number, since it is smaller than the sum of its proper divisors (656504264704).

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

419884712960 is a wasteful number, since it uses less digits than its factorization.

419884712960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 59.

The spelling of 419884712960 in words is "four hundred nineteen billion, eight hundred eighty-four million, seven hundred twelve thousand, nine hundred sixty".