44466445420320 has 384 divisors, whose sum is σ = 175200736499712. Its totient is φ = 9209681510400.

The previous prime is 44466445420307. The next prime is 44466445420399. The reversal of 44466445420320 is 2302454466444.

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

It is a self number, because there is not a number n which added to its sum of digits gives 44466445420320.

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 63 ways as a sum of consecutive naturals, for example, 9387280 + ... + 13306160.

It is an arithmetic number, because the mean of its divisors is an integer number (456251917968).

Almost surely, 2^{44466445420320} is an apocalyptic number.

44466445420320 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 44466445420320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87600368249856).

44466445420320 is an abundant number, since it is smaller than the sum of its proper divisors (130734291079392).

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

44466445420320 is a wasteful number, since it uses less digits than its factorization.

44466445420320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3919224 (or 3919216 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 48.

Adding to 44466445420320 its reverse (2302454466444), we get a palindrome (46768899886764).

The spelling of 44466445420320 in words is "forty-four trillion, four hundred sixty-six billion, four hundred forty-five million, four hundred twenty thousand, three hundred twenty".