14001430202000 has 80 divisors (see below), whose sum is σ = 35022887967600. Its totient is φ = 5407448883200.

The previous prime is 14001430201939. The next prime is 14001430202009. The reversal of 14001430202000 is 20203410041.

It can be written as a sum of positive squares in 8 ways, for example, as 3182698816144 + 10818731385856 = 1784012^2 + 3289184^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 14001430202000.

It is not an unprimeable number, because it can be changed into a prime (14001430202009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120643985 + ... + 120759984.

It is an arithmetic number, because the mean of its divisors is an integer number (437786099595).

Almost surely, 2^{14001430202000} is an apocalyptic number.

14001430202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14001430202000 is an abundant number, since it is smaller than the sum of its proper divisors (21021457765600).

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

14001430202000 is a wasteful number, since it uses less digits than its factorization.

14001430202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241404021 (or 241404005 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 14001430202000 its reverse (20203410041), we get a palindrome (14021633612041).

The spelling of 14001430202000 in words is "fourteen trillion, one billion, four hundred thirty million, two hundred two thousand".