44772288800000 has 162 divisors, whose sum is σ = 111719891551338. Its totient is φ = 17906521600000.

The previous prime is 44772288799999. The next prime is 44772288800011. The reversal of 44772288800000 is 888227744.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 9 ways, for example, as 36258125046784 + 8514163753216 = 6021472^2 + 2917904^2 .

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5984796260 + ... + 5984803740.

Almost surely, 2^{44772288800000} is an apocalyptic number.

44772288800000 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 44772288800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55859945775669).

44772288800000 is an abundant number, since it is smaller than the sum of its proper divisors (66947602751338).

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

44772288800000 is an frugal number, since it uses more digits than its factorization.

44772288800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15003 (or 7488 counting only the distinct ones).

The product of its (nonzero) digits is 1605632, while the sum is 50.

The spelling of 44772288800000 in words is "forty-four trillion, seven hundred seventy-two billion, two hundred eighty-eight million, eight hundred thousand".