20416409208 has 256 divisors, whose sum is σ = 62052480000. Its totient is φ = 6182438400.

The previous prime is 20416409203. The next prime is 20416409227. The reversal of 20416409208 is 80290461402.

20416409208 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 640 + 9 + 2 + 0 + 8 = 666.

It is a super-3 number, since 3×20416409208³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20416409201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75897298 + ... + 75897566.

It is an arithmetic number, because the mean of its divisors is an integer number (242392500).

Almost surely, 2^20416409208 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 20416409208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31026240000).

20416409208 is an abundant number, since it is smaller than the sum of its proper divisors (41636070792).

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

20416409208 is a wasteful number, since it uses less digits than its factorization.

20416409208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 20416409208 in words is "twenty billion, four hundred sixteen million, four hundred nine thousand, two hundred eight".