14444414003140 has 72 divisors (see below), whose sum is σ = 33565297008600. Its totient is φ = 5217262279680.

The previous prime is 14444414003093. The next prime is 14444414003143. The reversal of 14444414003140 is 4130041444441.

It can be written as a sum of positive squares in 4 ways, for example, as 682332169156 + 13762081833984 = 826034^2 + 3709728^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14444414003096 and 14444414003105.

It is not an unprimeable number, because it can be changed into a prime (14444414003143) 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, 19668837 + ... + 20389996.

It is an arithmetic number, because the mean of its divisors is an integer number (466184680675).

Almost surely, 2^{14444414003140} is an apocalyptic number.

14444414003140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14444414003140 is an abundant number, since it is smaller than the sum of its proper divisors (19120883005460).

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

14444414003140 is a wasteful number, since it uses less digits than its factorization.

14444414003140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40059013 (or 40059000 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 34.

Adding to 14444414003140 its reverse (4130041444441), we get a palindrome (18574455447581).

The spelling of 14444414003140 in words is "fourteen trillion, four hundred forty-four billion, four hundred fourteen million, three thousand, one hundred forty".