14431032420000 has 960 divisors, whose sum is σ = 57386978288640. Its totient is φ = 3098769408000.

The previous prime is 14431032419989. The next prime is 14431032420011. The reversal of 14431032420000 is 2423013441.

It is an interprime number because it is at equal distance from previous prime (14431032419989) and next prime (14431032420011).

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 159 ways as a sum of consecutive naturals, for example, 4705258467 + ... + 4705261533.

It is an arithmetic number, because the mean of its divisors is an integer number (59778102384).

Almost surely, 2^{14431032420000} is an apocalyptic number.

14431032420000 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 14431032420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28693489144320).

14431032420000 is an abundant number, since it is smaller than the sum of its proper divisors (42955945868640).

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

14431032420000 is a wasteful number, since it uses less digits than its factorization.

14431032420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3783 (or 3760 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 14431032420000 its reverse (2423013441), we get a palindrome (14433455433441).

The spelling of 14431032420000 in words is "fourteen trillion, four hundred thirty-one billion, thirty-two million, four hundred twenty thousand".