20434211310 has 128 divisors (see below), whose sum is σ = 54267770880. Its totient is φ = 4898082816.

The previous prime is 20434211309. The next prime is 20434211339. The reversal of 20434211310 is 1311243402.

It is a super-2 number, since 2×20434211310² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13242399 + ... + 13243941.

It is an arithmetic number, because the mean of its divisors is an integer number (423966960).

Almost surely, 2^20434211310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20434211310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27133885440).

20434211310 is an abundant number, since it is smaller than the sum of its proper divisors (33833559570).

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

20434211310 is a wasteful number, since it uses less digits than its factorization.

20434211310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2722.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 20434211310 its reverse (1311243402), we get a palindrome (21745454712).

The spelling of 20434211310 in words is "twenty billion, four hundred thirty-four million, two hundred eleven thousand, three hundred ten".