20430942336 has 448 divisors, whose sum is σ = 72064550400. Its totient is φ = 5643509760.

The previous prime is 20430942313. The next prime is 20430942349. The reversal of 20430942336 is 63324903402.

20430942336 is a `hidden beast` number, since 204 + 30 + 94 + 2 + 336 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a self number, because there is not a number n which added to its sum of digits gives 20430942336.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 20248200 + ... + 20249208.

Almost surely, 2^20430942336 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 20430942336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36032275200).

20430942336 is an abundant number, since it is smaller than the sum of its proper divisors (51633608064).

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

20430942336 is an equidigital number, since it uses as much as digits as its factorization.

20430942336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 20430942336 in words is "twenty billion, four hundred thirty million, nine hundred forty-two thousand, three hundred thirty-six".