444733326268032 has 128 divisors (see below), whose sum is σ = 1184936319365760. Its totient is φ = 147791073411072.

The previous prime is 444733326268013. The next prime is 444733326268073. The reversal of 444733326268032 is 230862623337444.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1472900308 + ... + 1473202220.

It is an arithmetic number, because the mean of its divisors is an integer number (9257314995045).

Almost surely, 2^{444733326268032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444733326268032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592468159682880).

444733326268032 is an abundant number, since it is smaller than the sum of its proper divisors (740202993097728).

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

444733326268032 is a wasteful number, since it uses less digits than its factorization.

444733326268032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313650 (or 313638 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 57.

The spelling of 444733326268032 in words is "four hundred forty-four trillion, seven hundred thirty-three billion, three hundred twenty-six million, two hundred sixty-eight thousand, thirty-two".