14430013000000 has 392 divisors, whose sum is σ = 38806575769472. Its totient is φ = 5292000000000.

The previous prime is 14430012999973. The next prime is 14430013000019. The reversal of 14430013000000 is 31003441.

It is a super-3 number, since 3×14430013000000³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1962996325 + ... + 1963003675.

Almost surely, 2^{14430013000000} is an apocalyptic number.

14430013000000 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 14430013000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19403287884736).

14430013000000 is an abundant number, since it is smaller than the sum of its proper divisors (24376562769472).

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

14430013000000 is an frugal number, since it uses more digits than its factorization.

14430013000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7557 (or 7522 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 14430013000000 its reverse (31003441), we get a palindrome (14430044003441).

The spelling of 14430013000000 in words is "fourteen trillion, four hundred thirty billion, thirteen million", and thus it is an aban number.