20411340000 has 240 divisors, whose sum is σ = 67589177040. Its totient is φ = 5391360000.

The previous prime is 20411339989. The next prime is 20411340091. The reversal of 20411340000 is 4311402.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 6538440 + ... + 6541560.

It is an arithmetic number, because the mean of its divisors is an integer number (281621571).

Almost surely, 2^20411340000 is an apocalyptic number.

20411340000 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 20411340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33794588520).

20411340000 is an abundant number, since it is smaller than the sum of its proper divisors (47177837040).

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

20411340000 is a wasteful number, since it uses less digits than its factorization.

20411340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3263 (or 3240 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 20411340000 its reverse (4311402), we get a palindrome (20415651402).

The spelling of 20411340000 in words is "twenty billion, four hundred eleven million, three hundred forty thousand".