44378616960 has 640 divisors, whose sum is σ = 172468589040. Its totient is φ = 10829168640.

The previous prime is 44378616941. The next prime is 44378616967. The reversal of 44378616960 is 6961687344.

44378616960 is a `hidden beast` number, since 443 + 7 + 86 + 1 + 69 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 27638397504 + 16740219456 = 166248^2 + 129384^2 .

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 (54).

It is a junction number, because it is equal to n+sod(n) for n = 44378616897 and 44378616906.

It is not an unprimeable number, because it can be changed into a prime (44378616967) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32606680 + ... + 32608040.

Almost surely, 2^44378616960 is an apocalyptic number.

44378616960 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 44378616960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86234294520).

44378616960 is an abundant number, since it is smaller than the sum of its proper divisors (128089972080).

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

44378616960 is a wasteful number, since it uses less digits than its factorization.

44378616960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 44378616960 in words is "forty-four billion, three hundred seventy-eight million, six hundred sixteen thousand, nine hundred sixty".