44514040320 has 640 divisors, whose sum is σ = 171506522880. Its totient is φ = 10899947520.

The previous prime is 44514040289. The next prime is 44514040331. The reversal of 44514040320 is 2304041544.

It is a happy number.

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

It is a super-2 number, since 2×44514040320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50526280 + ... + 50527160.

It is an arithmetic number, because the mean of its divisors is an integer number (267978942).

Almost surely, 2^44514040320 is an apocalyptic number.

44514040320 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 44514040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85753261440).

44514040320 is an abundant number, since it is smaller than the sum of its proper divisors (126992482560).

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

44514040320 is a wasteful number, since it uses less digits than its factorization.

44514040320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 44514040320 its reverse (2304041544), we get a palindrome (46818081864).

The spelling of 44514040320 in words is "forty-four billion, five hundred fourteen million, forty thousand, three hundred twenty".