14433131130000 has 400 divisors, whose sum is σ = 51040661760000. Its totient is φ = 3484281920000.

The previous prime is 14433131129999. The next prime is 14433131130007. The reversal of 14433131130000 is 3113133441.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is not an unprimeable number, because it can be changed into a prime (14433131130007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 78778501 + ... + 78961499.

It is an arithmetic number, because the mean of its divisors is an integer number (127601654400).

Almost surely, 2^{14433131130000} is an apocalyptic number.

14433131130000 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 14433131130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25520330880000).

14433131130000 is an abundant number, since it is smaller than the sum of its proper divisors (36607530630000).

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

14433131130000 is a wasteful number, since it uses less digits than its factorization.

14433131130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183280 (or 183259 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 14433131130000 its reverse (3113133441), we get a palindrome (14436244263441).

The spelling of 14433131130000 in words is "fourteen trillion, four hundred thirty-three billion, one hundred thirty-one million, one hundred thirty thousand".