444513321440 has 48 divisors (see below), whose sum is σ = 1054872056448. Its totient is φ = 177007981056.

The previous prime is 444513321433. The next prime is 444513321467. The reversal of 444513321440 is 44123315444.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 444513321440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6193487 + ... + 6264846.

It is an arithmetic number, because the mean of its divisors is an integer number (21976501176).

Almost surely, 2^444513321440 is an apocalyptic number.

444513321440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444513321440 is an abundant number, since it is smaller than the sum of its proper divisors (610358735008).

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

444513321440 is a wasteful number, since it uses less digits than its factorization.

444513321440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12458571 (or 12458563 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 444513321440 its reverse (44123315444), we get a palindrome (488636636884).

The spelling of 444513321440 in words is "four hundred forty-four billion, five hundred thirteen million, three hundred twenty-one thousand, four hundred forty".