1444142431314 has 96 divisors (see below), whose sum is σ = 3540393904320. Its totient is φ = 421575408000.

The previous prime is 1444142431309. The next prime is 1444142431321. The reversal of 1444142431314 is 4131342414441.

1444142431314 is a `hidden beast` number, since 1 + 4 + 441 + 42 + 43 + 131 + 4 = 666.

It is a super-2 number, since 2×1444142431314² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 235944 + ... + 1715795.

It is an arithmetic number, because the mean of its divisors is an integer number (36879103170).

Almost surely, 2^{1444142431314} is an apocalyptic number.

1444142431314 is an abundant number, since it is smaller than the sum of its proper divisors (2096251473006).

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

1444142431314 is a wasteful number, since it uses less digits than its factorization.

1444142431314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951896 (or 1951893 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

Adding to 1444142431314 its reverse (4131342414441), we get a palindrome (5575484845755).

The spelling of 1444142431314 in words is "one trillion, four hundred forty-four billion, one hundred forty-two million, four hundred thirty-one thousand, three hundred fourteen".