444024321224440 has 64 divisors (see below), whose sum is σ = 1104807713412960. Its totient is φ = 159251562270720.

The previous prime is 444024321224437. The next prime is 444024321224441. The reversal of 444024321224440 is 44422123420444.

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 = 444024321224393 and 444024321224402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444024321224441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6911928049 + ... + 6911992288.

Almost surely, 2^{444024321224440} is an apocalyptic number.

444024321224440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444024321224440 is an abundant number, since it is smaller than the sum of its proper divisors (660783392188520).

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

444024321224440 is a wasteful number, since it uses less digits than its factorization.

444024321224440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13823920432 (or 13823920428 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 40.

Adding to 444024321224440 its reverse (44422123420444), we get a palindrome (488446444644884).

The spelling of 444024321224440 in words is "four hundred forty-four trillion, twenty-four billion, three hundred twenty-one million, two hundred twenty-four thousand, four hundred forty".