444216547320 has 768 divisors, whose sum is σ = 1748718720000. Its totient is φ = 88142266368.

The previous prime is 444216547237. The next prime is 444216547349. The reversal of 444216547320 is 23745612444.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 423466156 + ... + 423467204.

It is an arithmetic number, because the mean of its divisors is an integer number (2276977500).

Almost surely, 2^444216547320 is an apocalyptic number.

444216547320 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 444216547320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874359360000).

444216547320 is an abundant number, since it is smaller than the sum of its proper divisors (1304502172680).

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

444216547320 is a wasteful number, since it uses less digits than its factorization.

444216547320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 42.

The spelling of 444216547320 in words is "four hundred forty-four billion, two hundred sixteen million, five hundred forty-seven thousand, three hundred twenty".