444040024224 has 48 divisors (see below), whose sum is σ = 1165694580288. Its totient is φ = 148001974272.

The previous prime is 444040024223. The next prime is 444040024231. The reversal of 444040024224 is 422420040444.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×444040024224² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444040024191 and 444040024200.

It is not an unprimeable number, because it can be changed into a prime (444040024223) 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, 1128709 + ... + 1470395.

It is an arithmetic number, because the mean of its divisors is an integer number (24285303756).

Almost surely, 2^444040024224 is an apocalyptic number.

It is an amenable number.

444040024224 is an abundant number, since it is smaller than the sum of its proper divisors (721654556064).

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

444040024224 is a wasteful number, since it uses less digits than its factorization.

444040024224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355237 (or 355229 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 444040024224 its reverse (422420040444), we get a palindrome (866460064668).

The spelling of 444040024224 in words is "four hundred forty-four billion, forty million, twenty-four thousand, two hundred twenty-four".