8044440352000 has 288 divisors, whose sum is σ = 21640437471744. Its totient is φ = 2962105344000.

The previous prime is 8044440351947. The next prime is 8044440352043. The reversal of 8044440352000 is 2530444408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152645655 + ... + 152698345.

It is an arithmetic number, because the mean of its divisors is an integer number (75140407888).

Almost surely, 2^{8044440352000} is an apocalyptic number.

8044440352000 is a gapful number since it is divisible by the number (80) 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 8044440352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10820218735872).

8044440352000 is an abundant number, since it is smaller than the sum of its proper divisors (13595997119744).

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

8044440352000 is a wasteful number, since it uses less digits than its factorization.

8044440352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53102 (or 53078 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 34.

Adding to 8044440352000 its reverse (2530444408), we get a palindrome (8046970796408).

The spelling of 8044440352000 in words is "eight trillion, forty-four billion, four hundred forty million, three hundred fifty-two thousand".