44270392960000 has 165 divisors, whose sum is σ = 110599840416549. Its totient is φ = 17706028032000.

The previous prime is 44270392959997. The next prime is 44270392960009. The reversal of 44270392960000 is 6929307244.

The square root of 44270392960000 is 6653600.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 7212103607296 + 37058289352704 = 2685536^2 + 6087552^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (44270392960009) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5322875842 + ... + 5322884158.

Almost surely, 2^{44270392960000} is an apocalyptic number.

44270392960000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

44270392960000 is the 6653600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44270392960000

44270392960000 is an abundant number, since it is smaller than the sum of its proper divisors (66329447456549).

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

44270392960000 is an frugal number, since it uses more digits than its factorization.

44270392960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16674 (or 8324 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 46.

The spelling of 44270392960000 in words is "forty-four trillion, two hundred seventy billion, three hundred ninety-two million, nine hundred sixty thousand".