20004362501340 has 192 divisors, whose sum is σ = 64274229347328. Its totient is φ = 4553851545600.

The previous prime is 20004362501323. The next prime is 20004362501359. The reversal of 20004362501340 is 4310526340002.

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

It is a junction number, because it is equal to n+sod(n) for n = 20004362501298 and 20004362501307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 239184730 + ... + 239268350.

It is an arithmetic number, because the mean of its divisors is an integer number (334761611184).

Almost surely, 2^{20004362501340} is an apocalyptic number.

20004362501340 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 20004362501340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32137114673664).

20004362501340 is an abundant number, since it is smaller than the sum of its proper divisors (44269866845988).

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

20004362501340 is a wasteful number, since it uses less digits than its factorization.

20004362501340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85948 (or 85946 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 20004362501340 its reverse (4310526340002), we get a palindrome (24314888841342).

The spelling of 20004362501340 in words is "twenty trillion, four billion, three hundred sixty-two million, five hundred one thousand, three hundred forty".