44362122126344 has 128 divisors (see below), whose sum is σ = 94963454438400. Its totient is φ = 19245711360000.

The previous prime is 44362122126299. The next prime is 44362122126359.

44362122126344 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 44362122126295 and 44362122126304.

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, 70497452 + ... + 71123940.

It is an arithmetic number, because the mean of its divisors is an integer number (741901987800).

Almost surely, 2^{44362122126344} is an apocalyptic number.

44362122126344 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 44362122126344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47481727219200).

44362122126344 is an abundant number, since it is smaller than the sum of its proper divisors (50601332312056).

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

44362122126344 is a wasteful number, since it uses less digits than its factorization.

44362122126344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626895 (or 626891 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 44.

The spelling of 44362122126344 in words is "forty-four trillion, three hundred sixty-two billion, one hundred twenty-two million, one hundred twenty-six thousand, three hundred forty-four".