20112313341440 has 160 divisors (see below), whose sum is σ = 49851796468320. Its totient is φ = 7776696729600.

The previous prime is 20112313341437. The next prime is 20112313341457. The reversal of 20112313341440 is 4414331321102.

It is a tau number, because it is divible by the number of its divisors (160).

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 15 ways as a sum of consecutive naturals, for example, 10561655 + ... + 12319625.

It is an arithmetic number, because the mean of its divisors is an integer number (311573727927).

Almost surely, 2^{20112313341440} is an apocalyptic number.

20112313341440 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 20112313341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24925898234160).

20112313341440 is an abundant number, since it is smaller than the sum of its proper divisors (29739483126880).

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

20112313341440 is a wasteful number, since it uses less digits than its factorization.

20112313341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758144 (or 1758128 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 20112313341440 its reverse (4414331321102), we get a palindrome (24526644662542).

The spelling of 20112313341440 in words is "twenty trillion, one hundred twelve billion, three hundred thirteen million, three hundred forty-one thousand, four hundred forty".