20395834416 has 240 divisors, whose sum is σ = 60922767360. Its totient is φ = 6360145920.

The previous prime is 20395834409. The next prime is 20395834421. The reversal of 20395834416 is 61443859302.

20395834416 is a `hidden beast` number, since 20 + 3 + 9 + 583 + 4 + 41 + 6 = 666.

It is a super-2 number, since 2×20395834416² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15946065 + ... + 15947343.

It is an arithmetic number, because the mean of its divisors is an integer number (253844864).

Almost surely, 2^20395834416 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 20395834416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30461383680).

20395834416 is an abundant number, since it is smaller than the sum of its proper divisors (40526932944).

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

20395834416 is a wasteful number, since it uses less digits than its factorization.

20395834416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 20395834416 in words is "twenty billion, three hundred ninety-five million, eight hundred thirty-four thousand, four hundred sixteen".