424444214144 has 64 divisors (see below), whose sum is σ = 860884794000. Its totient is φ = 208413499392.

The previous prime is 424444214123. The next prime is 424444214149. The reversal of 424444214144 is 441412444424.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 424444214098 and 424444214107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424444214149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1441967 + ... + 1711185.

Almost surely, 2^424444214144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424444214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430442397000).

424444214144 is an abundant number, since it is smaller than the sum of its proper divisors (436440579856).

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

424444214144 is a wasteful number, since it uses less digits than its factorization.

424444214144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269455 (or 269443 counting only the distinct ones).

The product of its digits is 262144, while the sum is 38.

Adding to 424444214144 its reverse (441412444424), we get a palindrome (865856658568).

The spelling of 424444214144 in words is "four hundred twenty-four billion, four hundred forty-four million, two hundred fourteen thousand, one hundred forty-four".