420169719816 has 384 divisors, whose sum is σ = 1442895068160. Its totient is φ = 107284953600.

The previous prime is 420169719811. The next prime is 420169719821. The reversal of 420169719816 is 618917961024.

420169719816 is a `hidden beast` number, since 420 + 1 + 69 + 71 + 98 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (420169719811) and next prime (420169719821).

It is not an unprimeable number, because it can be changed into a prime (420169719811) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 256669750 + ... + 256671386.

It is an arithmetic number, because the mean of its divisors is an integer number (3757539240).

Almost surely, 2^420169719816 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 420169719816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721447534080).

420169719816 is an abundant number, since it is smaller than the sum of its proper divisors (1022725348344).

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

420169719816 is a wasteful number, since it uses less digits than its factorization.

420169719816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 420169719816 in words is "four hundred twenty billion, one hundred sixty-nine million, seven hundred nineteen thousand, eight hundred sixteen".