14010434000 has 80 divisors (see below), whose sum is σ = 33927828480. Its totient is φ = 5595804800.

The previous prime is 14010433991. The next prime is 14010434041. The reversal of 14010434000 is 43401041.

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 14010434000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1433129 + ... + 1442871.

It is an arithmetic number, because the mean of its divisors is an integer number (424097856).

Almost surely, 2^14010434000 is an apocalyptic number.

14010434000 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 14010434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16963914240).

14010434000 is an abundant number, since it is smaller than the sum of its proper divisors (19917394480).

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

14010434000 is an equidigital number, since it uses as much as digits as its factorization.

14010434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10485 (or 10469 counting only the distinct ones).

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

Adding to 14010434000 its reverse (43401041), we get a palindrome (14053835041).

The spelling of 14010434000 in words is "fourteen billion, ten million, four hundred thirty-four thousand".