420403242195216 has 180 divisors, whose sum is σ = 1375581580756812. Its totient is φ = 119505489772032.

The previous prime is 420403242195203. The next prime is 420403242195239. The reversal of 420403242195216 is 612591242304024.

420403242195216 is a `hidden beast` number, since 4 + 2 + 0 + 4 + 0 + 3 + 2 + 421 + 9 + 5 + 216 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 404919835664400 + 15483406530816 = 20122620^2 + 3934896^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 149830675 + ... + 152610738.

Almost surely, 2^{420403242195216} is an apocalyptic number.

It is an amenable number.

420403242195216 is an abundant number, since it is smaller than the sum of its proper divisors (955178338561596).

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

420403242195216 is a wasteful number, since it uses less digits than its factorization.

420403242195216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302441638 (or 302441622 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 420403242195216 in words is "four hundred twenty trillion, four hundred three billion, two hundred forty-two million, one hundred ninety-five thousand, two hundred sixteen".