20412404314320 has 320 divisors, whose sum is σ = 65340369377280. Its totient is φ = 5268846950400.

The previous prime is 20412404314193. The next prime is 20412404314321. The reversal of 20412404314320 is 2341340421402.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20412404314321) 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 63 ways as a sum of consecutive naturals, for example, 3482748190 + ... + 3482754050.

It is an arithmetic number, because the mean of its divisors is an integer number (204188654304).

Almost surely, 2^{20412404314320} is an apocalyptic number.

20412404314320 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 20412404314320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32670184688640).

20412404314320 is an abundant number, since it is smaller than the sum of its proper divisors (44927965062960).

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

20412404314320 is a wasteful number, since it uses less digits than its factorization.

20412404314320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9674 (or 9668 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 20412404314320 its reverse (2341340421402), we get a palindrome (22753744735722).

The spelling of 20412404314320 in words is "twenty trillion, four hundred twelve billion, four hundred four million, three hundred fourteen thousand, three hundred twenty".