20110031040000 has 800 divisors, whose sum is σ = 74232227583360. Its totient is φ = 4795084800000.

The previous prime is 20110031039977. The next prime is 20110031040079. The reversal of 20110031040000 is 4013001102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 644144391 + ... + 644175609.

Almost surely, 2^{20110031040000} is an apocalyptic number.

20110031040000 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 20110031040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37116113791680).

20110031040000 is an abundant number, since it is smaller than the sum of its proper divisors (54122196543360).

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

20110031040000 is an equidigital number, since it uses as much as digits as its factorization.

20110031040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31332 (or 31301 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 20110031040000 its reverse (4013001102), we get a palindrome (20114044041102).

The spelling of 20110031040000 in words is "twenty trillion, one hundred ten billion, thirty-one million, forty thousand".