20114442341440 has 56 divisors (see below), whose sum is σ = 47898536904792. Its totient is φ = 8045605416960.

The previous prime is 20114442341423. The next prime is 20114442341449. The reversal of 20114442341440 is 4414324441102.

It can be written as a sum of positive squares in 4 ways, for example, as 406809249856 + 19707633091584 = 637816^2 + 4439328^2 .

It is a super-2 number, since 2×20114442341440² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20114442341396 and 20114442341405.

It is not an unprimeable number, because it can be changed into a prime (20114442341449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14930980 + ... + 16222300.

It is an arithmetic number, because the mean of its divisors is an integer number (855331016157).

Almost surely, 2^{20114442341440} is an apocalyptic number.

20114442341440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20114442341440 is an abundant number, since it is smaller than the sum of its proper divisors (27784094563352).

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

20114442341440 is a wasteful number, since it uses less digits than its factorization.

20114442341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340015 (or 1340005 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 34.

Adding to 20114442341440 its reverse (4414324441102), we get a palindrome (24528766782542).

The spelling of 20114442341440 in words is "twenty trillion, one hundred fourteen billion, four hundred forty-two million, three hundred forty-one thousand, four hundred forty".