44546400384 has 128 divisors (see below), whose sum is σ = 119110850880. Its totient is φ = 14750760960.

The previous prime is 44546400343. The next prime is 44546400397. The reversal of 44546400384 is 48300464544.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 54927339 + ... + 54928149.

Almost surely, 2^44546400384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44546400384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59555425440).

44546400384 is an abundant number, since it is smaller than the sum of its proper divisors (74564450496).

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

44546400384 is a wasteful number, since it uses less digits than its factorization.

44546400384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 42.

The spelling of 44546400384 in words is "forty-four billion, five hundred forty-six million, four hundred thousand, three hundred eighty-four".