44130340800 has 1512 divisors, whose sum is σ = 208786543056. Its totient is φ = 8732344320.

The previous prime is 44130340777. The next prime is 44130340819. The reversal of 44130340800 is 804303144.

44130340800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 155937459 + ... + 155937741.

It is an arithmetic number, because the mean of its divisors is an integer number (138086338).

Almost surely, 2^44130340800 is an apocalyptic number.

44130340800 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 44130340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104393271528).

44130340800 is an abundant number, since it is smaller than the sum of its proper divisors (164656202256).

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

44130340800 is a wasteful number, since it uses less digits than its factorization.

44130340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 44130340800 its reverse (804303144), we get a palindrome (44934643944).

The spelling of 44130340800 in words is "forty-four billion, one hundred thirty million, three hundred forty thousand, eight hundred".