444700350720 has 576 divisors, whose sum is σ = 1699348896000. Its totient is φ = 109710802944.

The previous prime is 444700350719. The next prime is 444700350751. The reversal of 444700350720 is 27053007444.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 34657266 + ... + 34670094.

It is an arithmetic number, because the mean of its divisors is an integer number (2950258500).

Almost surely, 2^444700350720 is an apocalyptic number.

444700350720 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 444700350720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849674448000).

444700350720 is an abundant number, since it is smaller than the sum of its proper divisors (1254648545280).

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

444700350720 is a wasteful number, since it uses less digits than its factorization.

444700350720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12935 (or 12915 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The spelling of 444700350720 in words is "four hundred forty-four billion, seven hundred million, three hundred fifty thousand, seven hundred twenty".