4451441544 has 96 divisors (see below), whose sum is σ = 13268642400. Its totient is φ = 1336957440.

The previous prime is 4451441513. The next prime is 4451441557.

4451441544 is nontrivially palindromic in base 10.

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 = 4451441499 and 4451441508.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64627 + ... + 114365.

It is an arithmetic number, because the mean of its divisors is an integer number (138215025).

Almost surely, 2^4451441544 is an apocalyptic number.

4451441544 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 4451441544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6634321200).

4451441544 is an abundant number, since it is smaller than the sum of its proper divisors (8817200856).

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

4451441544 is a wasteful number, since it uses less digits than its factorization.

4451441544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49875 (or 49868 counting only the distinct ones).

The product of its digits is 102400, while the sum is 36.

The square root of 4451441544 is about 66719.1242748284. The cubic root of 4451441544 is about 1645.0037470620.

The spelling of 4451441544 in words is "four billion, four hundred fifty-one million, four hundred forty-one thousand, five hundred forty-four".