44362455426344 has 128 divisors (see below), whose sum is σ = 93276340819200. Its totient is φ = 19610653440000.

The previous prime is 44362455426281. The next prime is 44362455426361.

44362455426344 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 44362455426344.

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 31 ways as a sum of consecutive naturals, for example, 169621244 + ... + 169882580.

It is an arithmetic number, because the mean of its divisors is an integer number (728721412650).

Almost surely, 2^{44362455426344} is an apocalyptic number.

44362455426344 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 44362455426344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46638170409600).

44362455426344 is an abundant number, since it is smaller than the sum of its proper divisors (48913885392856).

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

44362455426344 is a wasteful number, since it uses less digits than its factorization.

44362455426344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261795 (or 261791 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 56.

The spelling of 44362455426344 in words is "forty-four trillion, three hundred sixty-two billion, four hundred fifty-five million, four hundred twenty-six thousand, three hundred forty-four".