20312333040 has 160 divisors (see below), whose sum is σ = 70181579520. Its totient is φ = 4829663232.

The previous prime is 20312333039. The next prime is 20312333047. The reversal of 20312333040 is 4033321302.

It is a junction number, because it is equal to n+sod(n) for n = 20312332998 and 20312333016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20312333047) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 53494 + ... + 208533.

It is an arithmetic number, because the mean of its divisors is an integer number (438634872).

Almost surely, 2^20312333040 is an apocalyptic number.

20312333040 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 20312333040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35090789760).

20312333040 is an abundant number, since it is smaller than the sum of its proper divisors (49869246480).

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

20312333040 is a wasteful number, since it uses less digits than its factorization.

20312333040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262079 (or 262073 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 20312333040 its reverse (4033321302), we get a palindrome (24345654342).

The spelling of 20312333040 in words is "twenty billion, three hundred twelve million, three hundred thirty-three thousand, forty".