44884480800000 has 432 divisors, whose sum is σ = 150792325173504. Its totient is φ = 11850624000000.

The previous prime is 44884480799993. The next prime is 44884480800013. The reversal of 44884480800000 is 808448844.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 47 ways as a sum of consecutive naturals, for example, 242307417 + ... + 242492583.

It is an arithmetic number, because the mean of its divisors is an integer number (349056308272).

Almost surely, 2^{44884480800000} is an apocalyptic number.

44884480800000 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 44884480800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75396162586752).

44884480800000 is an abundant number, since it is smaller than the sum of its proper divisors (105907844373504).

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

44884480800000 is an equidigital number, since it uses as much as digits as its factorization.

44884480800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185312 (or 185278 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

The spelling of 44884480800000 in words is "forty-four trillion, eight hundred eighty-four billion, four hundred eighty million, eight hundred thousand".