14132430312000 has 2688 divisors, whose sum is σ = 64755348922368. Its totient is φ = 2635296768000.

The previous prime is 14132430311981. The next prime is 14132430312031. The reversal of 14132430312000 is 21303423141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11555543389 + ... + 11555544611.

Almost surely, 2^{14132430312000} is an apocalyptic number.

14132430312000 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 14132430312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32377674461184).

14132430312000 is an abundant number, since it is smaller than the sum of its proper divisors (50622918610368).

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

14132430312000 is a wasteful number, since it uses less digits than its factorization.

14132430312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 14132430312000 its reverse (21303423141), we get a palindrome (14153733735141).

The spelling of 14132430312000 in words is "fourteen trillion, one hundred thirty-two billion, four hundred thirty million, three hundred twelve thousand".