14001441401020 has 96 divisors (see below), whose sum is σ = 31303267527168. Its totient is φ = 5242284613632.

The previous prime is 14001441400979. The next prime is 14001441401033. The reversal of 14001441401020 is 2010414410041.

It is a super-2 number, since 2×14001441401020² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14001441400982 and 14001441401000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76714512 + ... + 76896808.

It is an arithmetic number, because the mean of its divisors is an integer number (326075703408).

Almost surely, 2^{14001441401020} is an apocalyptic number.

14001441401020 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 14001441401020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15651633763584).

14001441401020 is an abundant number, since it is smaller than the sum of its proper divisors (17301826126148).

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

14001441401020 is a wasteful number, since it uses less digits than its factorization.

14001441401020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183559 (or 183557 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 14001441401020 its reverse (2010414410041), we get a palindrome (16011855811061).

The spelling of 14001441401020 in words is "fourteen trillion, one billion, four hundred forty-one million, four hundred one thousand, twenty".