44142320000000 has 704 divisors, whose sum is σ = 117590253655680. Its totient is φ = 16515072000000.

The previous prime is 44142319999997. The next prime is 44142320000041. The reversal of 44142320000000 is 2324144.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 171759999872 + ... + 171760000128.

Almost surely, 2^{44142320000000} is an apocalyptic number.

44142320000000 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 44142320000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58795126827840).

44142320000000 is an abundant number, since it is smaller than the sum of its proper divisors (73447933655680).

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

44142320000000 is an frugal number, since it uses more digits than its factorization.

44142320000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 44142320000000 its reverse (2324144), we get a palindrome (44142322324144).

The spelling of 44142320000000 in words is "forty-four trillion, one hundred forty-two billion, three hundred twenty million", and thus it is an aban number.