444968013280 has 384 divisors, whose sum is σ = 1362245713920. Its totient is φ = 133782865920.

The previous prime is 444968013229. The next prime is 444968013341. The reversal of 444968013280 is 82310869444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15157977 + ... + 15187303.

It is an arithmetic number, because the mean of its divisors is an integer number (3547514880).

Almost surely, 2^444968013280 is an apocalyptic number.

444968013280 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 444968013280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681122856960).

444968013280 is an abundant number, since it is smaller than the sum of its proper divisors (917277700640).

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

444968013280 is a wasteful number, since it uses less digits than its factorization.

444968013280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29422 (or 29414 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 49.

The spelling of 444968013280 in words is "four hundred forty-four billion, nine hundred sixty-eight million, thirteen thousand, two hundred eighty".