419390877312 has 640 divisors, whose sum is σ = 1407550795200. Its totient is φ = 123350999040.

The previous prime is 419390877299. The next prime is 419390877317. The reversal of 419390877312 is 213778093914.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (419390877317) 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 79 ways as a sum of consecutive naturals, for example, 1025405364 + ... + 1025405772.

Almost surely, 2^419390877312 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 419390877312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703775397600).

419390877312 is an abundant number, since it is smaller than the sum of its proper divisors (988159917888).

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

419390877312 is an frugal number, since it uses more digits than its factorization.

419390877312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 419390877312 in words is "four hundred nineteen billion, three hundred ninety million, eight hundred seventy-seven thousand, three hundred twelve".