44401144340000 has 960 divisors, whose sum is σ = 136065362146560. Its totient is φ = 13910261760000.

The previous prime is 44401144339987. The next prime is 44401144340071. The reversal of 44401144340000 is 4344110444.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22345819007 + ... + 22345820993.

It is an arithmetic number, because the mean of its divisors is an integer number (141734752236).

Almost surely, 2^{44401144340000} is an apocalyptic number.

44401144340000 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 44401144340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68032681073280).

44401144340000 is an abundant number, since it is smaller than the sum of its proper divisors (91664217806560).

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

44401144340000 is a wasteful number, since it uses less digits than its factorization.

44401144340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2311 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 44401144340000 its reverse (4344110444), we get a palindrome (44405488450444).

The spelling of 44401144340000 in words is "forty-four trillion, four hundred one billion, one hundred forty-four million, three hundred forty thousand".