44334220040000 has 560 divisors, whose sum is σ = 123615485332416. Its totient is φ = 15630796800000.

The previous prime is 44334220039961. The next prime is 44334220040003. The reversal of 44334220040000 is 4002243344.

44334220040000 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 not an unprimeable number, because it can be changed into a prime (44334220040003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2940512462 + ... + 2940527538.

Almost surely, 2^{44334220040000} is an apocalyptic number.

44334220040000 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 44334220040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61807742666208).

44334220040000 is an abundant number, since it is smaller than the sum of its proper divisors (79281265292416).

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

44334220040000 is a wasteful number, since it uses less digits than its factorization.

44334220040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15324 (or 15299 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 44334220040000 its reverse (4002243344), we get a palindrome (44338222283344).

The spelling of 44334220040000 in words is "forty-four trillion, three hundred thirty-four billion, two hundred twenty million, forty thousand".