419040724128 has 288 divisors, whose sum is σ = 1204192059840. Its totient is φ = 127528427520.

The previous prime is 419040724073. The next prime is 419040724159. The reversal of 419040724128 is 821427040914.

It is a self number, because there is not a number n which added to its sum of digits gives 419040724128.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 908981818 + ... + 908982278.

It is an arithmetic number, because the mean of its divisors is an integer number (4181222430).

Almost surely, 2^419040724128 is an apocalyptic number.

419040724128 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 419040724128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602096029920).

419040724128 is an abundant number, since it is smaller than the sum of its proper divisors (785151335712).

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

419040724128 is a wasteful number, since it uses less digits than its factorization.

419040724128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 419040724128 in words is "four hundred nineteen billion, forty million, seven hundred twenty-four thousand, one hundred twenty-eight".