20420410204040 has 256 divisors, whose sum is σ = 57379325460480. Its totient is φ = 6354137180160.

The previous prime is 20420410204039. The next prime is 20420410204163. The reversal of 20420410204040 is 4040201402402.

It is a junction number, because it is equal to n+sod(n) for n = 20420410203997 and 20420410204015.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6976565057 + ... + 6976567983.

It is an arithmetic number, because the mean of its divisors is an integer number (224137990080).

Almost surely, 2^{20420410204040} is an apocalyptic number.

20420410204040 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 20420410204040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28689662730240).

20420410204040 is an abundant number, since it is smaller than the sum of its proper divisors (36958915256440).

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

20420410204040 is a wasteful number, since it uses less digits than its factorization.

20420410204040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5980 (or 5976 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

Adding to 20420410204040 its reverse (4040201402402), we get a palindrome (24460611606442).

The spelling of 20420410204040 in words is "twenty trillion, four hundred twenty billion, four hundred ten million, two hundred four thousand, forty".