14001440200020 has 720 divisors, whose sum is σ = 54630784454400. Its totient is φ = 2939224983552.

The previous prime is 14001440200019. The next prime is 14001440200043. The reversal of 14001440200020 is 2000204410041.

14001440200020 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 1 + 440 + 200 + 0 + 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 = 14001440199966 and 14001440200002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 381357184 + ... + 381393896.

It is an arithmetic number, because the mean of its divisors is an integer number (75876089520).

Almost surely, 2^{14001440200020} is an apocalyptic number.

14001440200020 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 14001440200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27315392227200).

14001440200020 is an abundant number, since it is smaller than the sum of its proper divisors (40629344254380).

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

14001440200020 is a wasteful number, since it uses less digits than its factorization.

14001440200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36966 (or 36942 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 14001440200020 its reverse (2000204410041), we get a palindrome (16001644610061).

The spelling of 14001440200020 in words is "fourteen trillion, one billion, four hundred forty million, two hundred thousand, twenty".