202020004042416 has 120 divisors (see below), whose sum is σ = 646147696931360. Its totient is φ = 57719612510208.

The previous prime is 202020004042411. The next prime is 202020004042427. The reversal of 202020004042416 is 614240400020202.

202020004042416 is a `hidden beast` number, since 2 + 0 + 2 + 0 + 200 + 0 + 4 + 0 + 42 + 416 = 666.

202020004042416 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×202020004042416² (a number of 29 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 202020004042416.

It is not an unprimeable number, because it can be changed into a prime (202020004042411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170678496 + ... + 171858048.

Almost surely, 2^{202020004042416} is an apocalyptic number.

It is an amenable number.

202020004042416 is an abundant number, since it is smaller than the sum of its proper divisors (444127692888944).

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

202020004042416 is a wasteful number, since it uses less digits than its factorization.

202020004042416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349483 (or 1349474 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 202020004042416 its reverse (614240400020202), we get a palindrome (816260404062618).

The spelling of 202020004042416 in words is "two hundred two trillion, twenty billion, four million, forty-two thousand, four hundred sixteen".