20434310320 has 60 divisors (see below), whose sum is σ = 48542544864. Its totient is φ = 7999745920.

The previous prime is 20434310293. The next prime is 20434310329. The reversal of 20434310320 is 2301343402.

It is a happy number.

It is a super-2 number, since 2×20434310320² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20434310291 and 20434310300.

It is not an unprimeable number, because it can be changed into a prime (20434310329) 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 11 ways as a sum of consecutive naturals, for example, 118905 + ... + 234535.

Almost surely, 2^20434310320 is an apocalyptic number.

20434310320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20434310320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24271272432).

20434310320 is an abundant number, since it is smaller than the sum of its proper divisors (28108234544).

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

20434310320 is a wasteful number, since it uses less digits than its factorization.

20434310320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115738 (or 115685 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 20434310320 its reverse (2301343402), we get a palindrome (22735653722).

The spelling of 20434310320 in words is "twenty billion, four hundred thirty-four million, three hundred ten thousand, three hundred twenty".