14001441010020 has 960 divisors, whose sum is σ = 49393878589440. Its totient is φ = 3303228211200.

The previous prime is 14001441010019. The next prime is 14001441010027. The reversal of 14001441010020 is 2001014410041.

14001441010020 is a `hidden beast` number, since 1 + 400 + 144 + 1 + 0 + 100 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 14001441009975 and 14001441010002.

It is not an unprimeable number, because it can be changed into a prime (14001441010027) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 9415897717 + ... + 9415899203.

It is an arithmetic number, because the mean of its divisors is an integer number (51451956864).

Almost surely, 2^{14001441010020} is an apocalyptic number.

14001441010020 is a gapful number since it is divisible by the number (10) 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 14001441010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24696939294720).

14001441010020 is an abundant number, since it is smaller than the sum of its proper divisors (35392437579420).

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

14001441010020 is a wasteful number, since it uses less digits than its factorization.

14001441010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866 (or 1855 counting only the distinct ones).

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

Adding to 14001441010020 its reverse (2001014410041), we get a palindrome (16002455420061).

The spelling of 14001441010020 in words is "fourteen trillion, one billion, four hundred forty-one million, ten thousand, twenty".