444460961536 has 72 divisors (see below), whose sum is σ = 928720588320. Its totient is φ = 211888275456.

The previous prime is 444460961521. The next prime is 444460961543. The reversal of 444460961536 is 635169064444.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1722360 + ... + 1963528.

It is an arithmetic number, because the mean of its divisors is an integer number (12898897060).

Almost surely, 2^444460961536 is an apocalyptic number.

444460961536 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444460961536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464360294160).

444460961536 is an abundant number, since it is smaller than the sum of its proper divisors (484259626784).

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

444460961536 is a wasteful number, since it uses less digits than its factorization.

444460961536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241521 (or 241507 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 52.

The spelling of 444460961536 in words is "four hundred forty-four billion, four hundred sixty million, nine hundred sixty-one thousand, five hundred thirty-six".