20408014120 has 96 divisors (see below), whose sum is σ = 49779191520. Its totient is φ = 7526588160.

The previous prime is 20408014117. The next prime is 20408014169. The reversal of 20408014120 is 2141080402.

It is a junction number, because it is equal to n+sod(n) for n = 20408014091 and 20408014100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11268015 + ... + 11269825.

It is an arithmetic number, because the mean of its divisors is an integer number (518533245).

Almost surely, 2^20408014120 is an apocalyptic number.

20408014120 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 20408014120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24889595760).

20408014120 is an abundant number, since it is smaller than the sum of its proper divisors (29371177400).

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

20408014120 is a wasteful number, since it uses less digits than its factorization.

20408014120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3515 (or 3498 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 20408014120 its reverse (2141080402), we get a palindrome (22549094522).

The spelling of 20408014120 in words is "twenty billion, four hundred eight million, fourteen thousand, one hundred twenty".