44444377344444 has 192 divisors, whose sum is σ = 130615344018432. Its totient is φ = 11425978368000.

The previous prime is 44444377344421. The next prime is 44444377344473.

44444377344444 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

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, 292681482 + ... + 292833294.

It is an arithmetic number, because the mean of its divisors is an integer number (680288250096).

Almost surely, 2^{44444377344444} is an apocalyptic number.

44444377344444 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 44444377344444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65307672009216).

44444377344444 is an abundant number, since it is smaller than the sum of its proper divisors (86170966673988).

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

44444377344444 is a wasteful number, since it uses less digits than its factorization.

44444377344444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155076 (or 155074 counting only the distinct ones).

The product of its digits is 462422016, while the sum is 60.

The spelling of 44444377344444 in words is "forty-four trillion, four hundred forty-four billion, three hundred seventy-seven million, three hundred forty-four thousand, four hundred forty-four".