20413344320 has 224 divisors, whose sum is σ = 53034505056. Its totient is φ = 7454720000.

The previous prime is 20413344319. The next prime is 20413344433. The reversal of 20413344320 is 2344331402.

It can be written as a sum of positive squares in 16 ways, for example, as 1716610624 + 18696733696 = 41432^2 + 136736^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20413344320.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29119970 + ... + 29120670.

Almost surely, 2^20413344320 is an apocalyptic number.

20413344320 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 20413344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26517252528).

20413344320 is an abundant number, since it is smaller than the sum of its proper divisors (32621160736).

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

20413344320 is a wasteful number, since it uses less digits than its factorization.

20413344320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 20413344320 its reverse (2344331402), we get a palindrome (22757675722).

The spelling of 20413344320 in words is "twenty billion, four hundred thirteen million, three hundred forty-four thousand, three hundred twenty".