20434313020 has 72 divisors (see below), whose sum is σ = 47469112992. Its totient is φ = 7383192960.

The previous prime is 20434312979. The next prime is 20434313023. The reversal of 20434313020 is 2031343402.

It is a happy number.

It is a super-2 number, since 2×20434313020² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 20434312982 and 20434313000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20434313023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 353049 + ... + 406831.

It is an arithmetic number, because the mean of its divisors is an integer number (659293236).

Almost surely, 2^20434313020 is an apocalyptic number.

20434313020 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 20434313020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23734556496).

20434313020 is an abundant number, since it is smaller than the sum of its proper divisors (27034799972).

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

20434313020 is a wasteful number, since it uses less digits than its factorization.

20434313020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53971 (or 53958 counting only the distinct ones).

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

Adding to 20434313020 its reverse (2031343402), we get a palindrome (22465656422).

The spelling of 20434313020 in words is "twenty billion, four hundred thirty-four million, three hundred thirteen thousand, twenty".