14442420412224 has 224 divisors, whose sum is σ = 49137700454400. Its totient is φ = 4074172577280.

The previous prime is 14442420412193. The next prime is 14442420412309. The reversal of 14442420412224 is 42221402424441.

14442420412224 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 2 + 420 + 4 + 1 + 2 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6601272 + ... + 8512439.

Almost surely, 2^{14442420412224} is an apocalyptic number.

14442420412224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14442420412224 is an abundant number, since it is smaller than the sum of its proper divisors (34695280042176).

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

14442420412224 is a wasteful number, since it uses less digits than its factorization.

14442420412224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15113818 (or 15113802 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

Adding to 14442420412224 its reverse (42221402424441), we get a palindrome (56663822836665).

The spelling of 14442420412224 in words is "fourteen trillion, four hundred forty-two billion, four hundred twenty million, four hundred twelve thousand, two hundred twenty-four".