419687224164 has 72 divisors (see below), whose sum is σ = 1149242352440. Its totient is φ = 129134506176.

The previous prime is 419687224157. The next prime is 419687224193. The reversal of 419687224164 is 461422786914.

419687224164 is a `hidden beast` number, since 41 + 96 + 87 + 22 + 416 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 267619982400 + 152067241764 = 517320^2 + 389958^2 .

It is a super-2 number, since 2×419687224164² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 419687224164.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2574067 + ... + 2732250.

Almost surely, 2^419687224164 is an apocalyptic number.

It is an amenable number.

419687224164 is an abundant number, since it is smaller than the sum of its proper divisors (729555128276).

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

419687224164 is a wasteful number, since it uses less digits than its factorization.

419687224164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5306366 (or 5306335 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 419687224164 in words is "four hundred nineteen billion, six hundred eighty-seven million, two hundred twenty-four thousand, one hundred sixty-four".