44402344320444 has 192 divisors, whose sum is σ = 116351555023872. Its totient is φ = 13060872345600.

The previous prime is 44402344320419. The next prime is 44402344320461.

44402344320444 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44402344320396 and 44402344320405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6809127904 + ... + 6809134424.

It is an arithmetic number, because the mean of its divisors is an integer number (605997682416).

Almost surely, 2^{44402344320444} is an apocalyptic number.

44402344320444 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 44402344320444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58175777511936).

44402344320444 is an abundant number, since it is smaller than the sum of its proper divisors (71949210703428).

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

44402344320444 is a wasteful number, since it uses less digits than its factorization.

44402344320444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9636 (or 9634 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 42.

It can be divided in two parts, 4440234 and 4320444, that added together give a palindrome (8760678).

The spelling of 44402344320444 in words is "forty-four trillion, four hundred two billion, three hundred forty-four million, three hundred twenty thousand, four hundred forty-four".