44133140003328 has 240 divisors, whose sum is σ = 132106801706880. Its totient is φ = 14709028847616.

The previous prime is 44133140003327. The next prime is 44133140003341. The reversal of 44133140003328 is 82330004133144.

44133140003328 is a `hidden beast` number, since 4 + 4 + 1 + 3 + 314 + 0 + 0 + 0 + 332 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 44133140003292 and 44133140003301.

It is not an unprimeable number, because it can be changed into a prime (44133140003327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1110890601 + ... + 1110930327.

It is an arithmetic number, because the mean of its divisors is an integer number (550445007112).

Almost surely, 2^{44133140003328} is an apocalyptic number.

44133140003328 is a gapful number since it is divisible by the number (48) 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 44133140003328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66053400853440).

44133140003328 is an abundant number, since it is smaller than the sum of its proper divisors (87973661703552).

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

44133140003328 is an frugal number, since it uses more digits than its factorization.

44133140003328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48689 (or 48661 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 44133140003328 in words is "forty-four trillion, one hundred thirty-three billion, one hundred forty million, three thousand, three hundred twenty-eight".