44800448400000 has 576 divisors, whose sum is σ = 161903560946400. Its totient is φ = 11889964800000.

The previous prime is 44800448399999. The next prime is 44800448400049. The reversal of 44800448400000 is 484400844.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-4 number, since 4×44800448400000⁴ (a number of 56 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 759570511 + ... + 759629489.

Almost surely, 2^{44800448400000} is an apocalyptic number.

44800448400000 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 44800448400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80951780473200).

44800448400000 is an abundant number, since it is smaller than the sum of its proper divisors (117103112546400).

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

44800448400000 is an equidigital number, since it uses as much as digits as its factorization.

44800448400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59235 (or 59200 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The spelling of 44800448400000 in words is "forty-four trillion, eight hundred billion, four hundred forty-eight million, four hundred thousand".