20111104440000 has 1400 divisors, whose sum is σ = 88076580097440. Its totient is φ = 4438167552000.

The previous prime is 20111104439977. The next prime is 20111104440001. The reversal of 20111104440000 is 4440111102.

20111104440000 is a `hidden beast` number, since 201 + 11 + 10 + 4 + 440 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1400).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20111104440001) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 657704712 + ... + 657735288.

Almost surely, 2^{20111104440000} is an apocalyptic number.

20111104440000 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 20111104440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44038290048720).

20111104440000 is an abundant number, since it is smaller than the sum of its proper divisors (67965475657440).

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

20111104440000 is an equidigital number, since it uses as much as digits as its factorization.

20111104440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30657 (or 30623 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20111104440000 its reverse (4440111102), we get a palindrome (20115544551102).

The spelling of 20111104440000 in words is "twenty trillion, one hundred eleven billion, one hundred four million, four hundred forty thousand".