444424424440 has 32 divisors (see below), whose sum is σ = 1000079120160. Its totient is φ = 177747696000.

The previous prime is 444424424429. The next prime is 444424424443. The reversal of 444424424440 is 44424424444.

It is a super-3 number, since 3×444424424440³ (a number of 36 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 444424424393 and 444424424402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444424424443) 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, 361716 + ... + 1009795.

It is an arithmetic number, because the mean of its divisors is an integer number (31252472505).

Almost surely, 2^444424424440 is an apocalyptic number.

444424424440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444424424440 is an abundant number, since it is smaller than the sum of its proper divisors (555654695720).

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

444424424440 is a wasteful number, since it uses less digits than its factorization.

444424424440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379623 (or 1379619 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 40.

Adding to 444424424440 its reverse (44424424444), we get a palindrome (488848848884).

The spelling of 444424424440 in words is "four hundred forty-four billion, four hundred twenty-four million, four hundred twenty-four thousand, four hundred forty".