44421422412444 has 192 divisors, whose sum is σ = 134060754723840. Its totient is φ = 11108607713280.

The previous prime is 44421422412443. The next prime is 44421422412457.

44421422412444 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a junction number, because it is equal to n+sod(n) for n = 44421422412396 and 44421422412405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44421422412443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7110882 + ... + 11807094.

It is an arithmetic number, because the mean of its divisors is an integer number (698233097520).

Almost surely, 2^{44421422412444} is an apocalyptic number.

44421422412444 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 44421422412444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67030377361920).

44421422412444 is an abundant number, since it is smaller than the sum of its proper divisors (89639332311396).

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

44421422412444 is a wasteful number, since it uses less digits than its factorization.

44421422412444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4696620 (or 4696618 counting only the distinct ones).

The product of its digits is 1048576, while the sum is 42.

It can be divided in two parts, 4442142 and 2412444, that added together give a palindrome (6854586).

The spelling of 44421422412444 in words is "forty-four trillion, four hundred twenty-one billion, four hundred twenty-two million, four hundred twelve thousand, four hundred forty-four".