14272040000144 has 20 divisors (see below), whose sum is σ = 27705152521260. Its totient is φ = 7122323220480.

The previous prime is 14272040000129. The next prime is 14272040000147. The reversal of 14272040000144 is 44100004027241.

It can be written as a sum of positive squares in 2 ways, for example, as 5826855276544 + 8445184723600 = 2413888^2 + 2906060^2 .

It is a super-2 number, since 2×14272040000144² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14272040000147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 856040129 + ... + 856056800.

It is an arithmetic number, because the mean of its divisors is an integer number (1385257626063).

Almost surely, 2^{14272040000144} is an apocalyptic number.

It is an amenable number.

14272040000144 is a deficient number, since it is larger than the sum of its proper divisors (13433112521116).

14272040000144 is a wasteful number, since it uses less digits than its factorization.

14272040000144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712097458 (or 1712097452 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 29.

Adding to 14272040000144 its reverse (44100004027241), we get a palindrome (58372044027385).

The spelling of 14272040000144 in words is "fourteen trillion, two hundred seventy-two billion, forty million, one hundred forty-four", and thus it is an aban number.