16420106417 has 24 divisors (see below), whose sum is σ = 19409829120. Its totient is φ = 13769820480.

The previous prime is 16420106407. The next prime is 16420106419. The reversal of 16420106417 is 71460102461.

It is not a de Polignac number, because 16420106417 - 2²⁶ = 16352997553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (16420106419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5183168 + ... + 5186334.

It is an arithmetic number, because the mean of its divisors is an integer number (808742880).

Almost surely, 2^16420106417 is an apocalyptic number.

It is an amenable number.

16420106417 is a deficient number, since it is larger than the sum of its proper divisors (2989722703).

16420106417 is a wasteful number, since it uses less digits than its factorization.

16420106417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5993 (or 5980 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

Adding to 16420106417 its reverse (71460102461), we get a palindrome (87880208878).

The spelling of 16420106417 in words is "sixteen billion, four hundred twenty million, one hundred six thousand, four hundred seventeen".