419688886914 has 96 divisors (see below), whose sum is σ = 1006124416128. Its totient is φ = 125377440000.

The previous prime is 419688886909. The next prime is 419688886931.

419688886914 is a `hidden beast` number, since 419 + 68 + 8 + 88 + 69 + 14 = 666.

419688886914 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×419688886914² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4614499 + ... + 4704569.

It is an arithmetic number, because the mean of its divisors is an integer number (10480462668).

Almost surely, 2^419688886914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419688886914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503062208064).

419688886914 is an abundant number, since it is smaller than the sum of its proper divisors (586435529214).

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

419688886914 is a wasteful number, since it uses less digits than its factorization.

419688886914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90424 (or 90421 counting only the distinct ones).

The product of its digits is 191102976, while the sum is 72.

The spelling of 419688886914 in words is "four hundred nineteen billion, six hundred eighty-eight million, eight hundred eighty-six thousand, nine hundred fourteen".