14434114140144 has 120 divisors (see below), whose sum is σ = 40826054309040. Its totient is φ = 4760203198464.

The previous prime is 14434114140143. The next prime is 14434114140179. The reversal of 14434114140144 is 44104141143441.

14434114140144 is a `hidden beast` number, since 1 + 4 + 434 + 1 + 1 + 41 + 40 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14434114140099 and 14434114140108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14434114140143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11239654 + ... + 12457850.

It is an arithmetic number, because the mean of its divisors is an integer number (340217119242).

Almost surely, 2^{14434114140144} 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 14434114140144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20413027154520).

14434114140144 is an abundant number, since it is smaller than the sum of its proper divisors (26391940168896).

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

14434114140144 is a wasteful number, since it uses less digits than its factorization.

14434114140144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219087 (or 1219078 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

Adding to 14434114140144 its reverse (44104141143441), we get a palindrome (58538255283585).

The spelling of 14434114140144 in words is "fourteen trillion, four hundred thirty-four billion, one hundred fourteen million, one hundred forty thousand, one hundred forty-four".