44103322330144 has 144 divisors (see below), whose sum is σ = 110191289211360. Its totient is φ = 17182398428160.

The previous prime is 44103322330139. The next prime is 44103322330153.

44103322330144 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 634846899 + ... + 634916365.

It is an arithmetic number, because the mean of its divisors is an integer number (765217286190).

Almost surely, 2^{44103322330144} is an apocalyptic number.

44103322330144 is a gapful number since it is divisible by the number (44) 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 44103322330144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55095644605680).

44103322330144 is an abundant number, since it is smaller than the sum of its proper divisors (66087966881216).

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

44103322330144 is a wasteful number, since it uses less digits than its factorization.

44103322330144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106311 (or 106296 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

It can be divided in two parts, 4410332 and 2330144, that added together give a palindrome (6740476).

The spelling of 44103322330144 in words is "forty-four trillion, one hundred three billion, three hundred twenty-two million, three hundred thirty thousand, one hundred forty-four".