14321011413000 has 512 divisors, whose sum is σ = 46225251072000. Its totient is φ = 3689506022400.

The previous prime is 14321011412989. The next prime is 14321011413017. The reversal of 14321011413000 is 31411012341.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6202255846 + ... + 6202258154.

It is an arithmetic number, because the mean of its divisors is an integer number (90283693500).

Almost surely, 2^{14321011413000} is an apocalyptic number.

14321011413000 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 14321011413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23112625536000).

14321011413000 is an abundant number, since it is smaller than the sum of its proper divisors (31904239659000).

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

14321011413000 is a wasteful number, since it uses less digits than its factorization.

14321011413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2982 (or 2968 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 14321011413000 its reverse (31411012341), we get a palindrome (14352422425341).

The spelling of 14321011413000 in words is "fourteen trillion, three hundred twenty-one billion, eleven million, four hundred thirteen thousand".