4441372731444 has 144 divisors (see below), whose sum is σ = 11453288616000. Its totient is φ = 1338525196800.

The previous prime is 4441372731401. The next prime is 4441372731461.

4441372731444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4441372731444² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4441372731393 and 4441372731402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 212282104 + ... + 212303024.

It is an arithmetic number, because the mean of its divisors is an integer number (79536726500).

Almost surely, 2^{4441372731444} is an apocalyptic number.

4441372731444 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 4441372731444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5726644308000).

4441372731444 is an abundant number, since it is smaller than the sum of its proper divisors (7011915884556).

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

4441372731444 is a wasteful number, since it uses less digits than its factorization.

4441372731444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21742 (or 21729 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 48.

The spelling of 4441372731444 in words is "four trillion, four hundred forty-one billion, three hundred seventy-two million, seven hundred thirty-one thousand, four hundred forty-four".