14032401001000 has 256 divisors, whose sum is σ = 35728999637760. Its totient is φ = 5137722777600.

The previous prime is 14032401000973. The next prime is 14032401001001. The reversal of 14032401001000 is 10010423041.

It is not an unprimeable number, because it can be changed into a prime (14032401001001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 170281807 + ... + 170364193.

It is an arithmetic number, because the mean of its divisors is an integer number (139566404835).

Almost surely, 2^{14032401001000} is an apocalyptic number.

14032401001000 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 14032401001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17864499818880).

14032401001000 is an abundant number, since it is smaller than the sum of its proper divisors (21696598636760).

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

14032401001000 is a wasteful number, since it uses less digits than its factorization.

14032401001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82701 (or 82687 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 14032401001000 its reverse (10010423041), we get a palindrome (14042411424041).

The spelling of 14032401001000 in words is "fourteen trillion, thirty-two billion, four hundred one million, one thousand".