444616612680 has 128 divisors (see below), whose sum is σ = 1351371496320. Its totient is φ = 117014476800.

The previous prime is 444616612651. The next prime is 444616612711. The reversal of 444616612680 is 86216616444.

It is a happy 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 31 ways as a sum of consecutive naturals, for example, 3734959 + ... + 3852161.

It is an arithmetic number, because the mean of its divisors is an integer number (10557589815).

Almost surely, 2^444616612680 is an apocalyptic number.

444616612680 is a gapful number since it is divisible by the number (40) 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 444616612680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675685748160).

444616612680 is an abundant number, since it is smaller than the sum of its proper divisors (906754883640).

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

444616612680 is a wasteful number, since it uses less digits than its factorization.

444616612680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117631 (or 117627 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 444616612680 in words is "four hundred forty-four billion, six hundred sixteen million, six hundred twelve thousand, six hundred eighty".