14414244030144 has 84 divisors (see below), whose sum is σ = 47218089088144. Its totient is φ = 4118355436032.

The previous prime is 14414244030107. The next prime is 14414244030167. The reversal of 14414244030144 is 44103044241441.

14414244030144 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 42 + 440 + 30 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

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 = 14414244030099 and 14414244030108.

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 11 ways as a sum of consecutive naturals, for example, 1787476627 + ... + 1787484690.

Almost surely, 2^{14414244030144} is an apocalyptic number.

14414244030144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14414244030144 is an abundant number, since it is smaller than the sum of its proper divisors (32803845058000).

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

14414244030144 is a wasteful number, since it uses less digits than its factorization.

14414244030144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3574961342 (or 3574961329 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 14414244030144 its reverse (44103044241441), we get a palindrome (58517288271585).

The spelling of 14414244030144 in words is "fourteen trillion, four hundred fourteen billion, two hundred forty-four million, thirty thousand, one hundred forty-four".