44398161472000 has 640 divisors, whose sum is σ = 129403653350400. Its totient is φ = 15187311820800.

The previous prime is 44398161471959. The next prime is 44398161472001. The reversal of 44398161472000 is 27416189344.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (44398161472001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10690621924 + ... + 10690626076.

It is an arithmetic number, because the mean of its divisors is an integer number (202193208360).

Almost surely, 2^{44398161472000} is an apocalyptic number.

44398161472000 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 44398161472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64701826675200).

44398161472000 is an abundant number, since it is smaller than the sum of its proper divisors (85005491878400).

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

44398161472000 is an frugal number, since it uses more digits than its factorization.

44398161472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4694 (or 4654 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

The spelling of 44398161472000 in words is "forty-four trillion, three hundred ninety-eight billion, one hundred sixty-one million, four hundred seventy-two thousand".