444002967936 has 384 divisors, whose sum is σ = 1453993027200. Its totient is φ = 133275479040.

The previous prime is 444002967893. The next prime is 444002967937. The reversal of 444002967936 is 639769200444.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444002967937) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44739871 + ... + 44749793.

It is an arithmetic number, because the mean of its divisors is an integer number (3786440175).

Almost surely, 2^444002967936 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 444002967936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726996513600).

444002967936 is an abundant number, since it is smaller than the sum of its proper divisors (1009990059264).

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

444002967936 is a wasteful number, since it uses less digits than its factorization.

444002967936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10075 (or 10046 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 444002967936 in words is "four hundred forty-four billion, two million, nine hundred sixty-seven thousand, nine hundred thirty-six".