944640000000 has 768 divisors, whose sum is σ = 3494337734160. Its totient is φ = 245760000000.

The previous prime is 944639999939. The next prime is 944640000019. The reversal of 944640000000 is 46449.

It can be written as a sum of positive squares in 8 ways, for example, as 944597385216 + 42614784 = 971904^2 + 6528^2 .

It is a tau number, because it is divible by the number of its divisors (768).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 16400 × 3600 × 16000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23039999980 + ... + 23040000020.

Almost surely, 2^944640000000 is an apocalyptic number.

944640000000 is a gapful number since it is divisible by the number (90) 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 944640000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747168867080).

944640000000 is an abundant number, since it is smaller than the sum of its proper divisors (2549697734160).

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

944640000000 is an frugal number, since it uses more digits than its factorization.

944640000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 944640000000 its reverse (46449), we get a palindrome (944640046449).

The spelling of 944640000000 in words is "nine hundred forty-four billion, six hundred forty million", and thus it is an aban number.