44140320 has 288 divisors, whose sum is σ = 179262720. Its totient is φ = 9676800.

The previous prime is 44140307. The next prime is 44140321. The reversal of 44140320 is 2304144.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 44140293 and 44140302.

It is not an unprimeable number, because it can be changed into a prime (44140321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 292245 + ... + 292395.

It is an arithmetic number, because the mean of its divisors is an integer number (622440).

Almost surely, 2^44140320 is an apocalyptic number.

44140320 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 44140320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89631360).

44140320 is an abundant number, since it is smaller than the sum of its proper divisors (135122400).

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

44140320 is a wasteful number, since it uses less digits than its factorization.

44140320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 44140320 is about 6643.8181793303. The cubic root of 44140320 is about 353.4097220228.

Adding to 44140320 its reverse (2304144), we get a palindrome (46444464).

The spelling of 44140320 in words is "forty-four million, one hundred forty thousand, three hundred twenty".