14214213110000 has 100 divisors (see below), whose sum is σ = 34423659615312. Its totient is φ = 5684094528000.

The previous prime is 14214213109981. The next prime is 14214213110023. The reversal of 14214213110000 is 1131241241.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35872964 + ... + 36267036.

Almost surely, 2^{14214213110000} is an apocalyptic number.

14214213110000 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 14214213110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17211829807656).

14214213110000 is an abundant number, since it is smaller than the sum of its proper divisors (20209446505312).

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

14214213110000 is an equidigital number, since it uses as much as digits as its factorization.

14214213110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397708 (or 397687 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 14214213110000 its reverse (1131241241), we get a palindrome (14215344351241).

The spelling of 14214213110000 in words is "fourteen trillion, two hundred fourteen billion, two hundred thirteen million, one hundred ten thousand".