14430201032144 has 80 divisors (see below), whose sum is σ = 29788850802240. Its totient is φ = 6748092426240.

The previous prime is 14430201032119. The next prime is 14430201032147. The reversal of 14430201032144 is 44123010203441.

14430201032144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14430201032147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 403838759 + ... + 403874489.

It is an arithmetic number, because the mean of its divisors is an integer number (372360635028).

Almost surely, 2^{14430201032144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14430201032144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14894425401120).

14430201032144 is an abundant number, since it is smaller than the sum of its proper divisors (15358649770096).

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

14430201032144 is a wasteful number, since it uses less digits than its factorization.

14430201032144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45028 (or 45022 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 14430201032144 its reverse (44123010203441), we get a palindrome (58553211235585).

The spelling of 14430201032144 in words is "fourteen trillion, four hundred thirty billion, two hundred one million, thirty-two thousand, one hundred forty-four".