4441042401444 has 162 divisors, whose sum is σ = 12681812104962. Its totient is φ = 1309396492800.

The previous prime is 4441042401401. The next prime is 4441042401469.

4441042401444 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 3 ways, for example, as 1033739892900 + 3407302508544 = 1016730^2 + 1845888^2 .

It is a super-2 number, since 2×4441042401444² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4441042401399 and 4441042401408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5591004 + ... + 6335724.

Almost surely, 2^{4441042401444} is an apocalyptic number.

4441042401444 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 4441042401444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6340906052481).

4441042401444 is an abundant number, since it is smaller than the sum of its proper divisors (8240769703518).

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

4441042401444 is a wasteful number, since it uses less digits than its factorization.

4441042401444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744827 (or 744774 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

The spelling of 4441042401444 in words is "four trillion, four hundred forty-one billion, forty-two million, four hundred one thousand, four hundred forty-four".