14144011201320 has 512 divisors, whose sum is σ = 56986071367680. Its totient is φ = 2712252026880.

The previous prime is 14144011201297. The next prime is 14144011201339. The reversal of 14144011201320 is 2310211044141.

It is a happy number.

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 127 ways as a sum of consecutive naturals, for example, 564911842 + ... + 564936878.

It is an arithmetic number, because the mean of its divisors is an integer number (111300920640).

Almost surely, 2^{14144011201320} is an apocalyptic number.

14144011201320 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 14144011201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28493035683840).

14144011201320 is an abundant number, since it is smaller than the sum of its proper divisors (42842060166360).

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

14144011201320 is a wasteful number, since it uses less digits than its factorization.

14144011201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29785 (or 29781 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 14144011201320 its reverse (2310211044141), we get a palindrome (16454222245461).

The spelling of 14144011201320 in words is "fourteen trillion, one hundred forty-four billion, eleven million, two hundred one thousand, three hundred twenty".