4445115444 has 144 divisors (see below), whose sum is σ = 14148441216. Its totient is φ = 1143072000.

The previous prime is 4445115439. The next prime is 4445115463.

4445115444 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 = 4445115399 and 4445115408.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 272034 + ... + 287910.

It is an arithmetic number, because the mean of its divisors is an integer number (98253064).

Almost surely, 2^4445115444 is an apocalyptic number.

4445115444 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 4445115444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7074220608).

4445115444 is an abundant number, since it is smaller than the sum of its proper divisors (9703325772).

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

4445115444 is a wasteful number, since it uses less digits than its factorization.

4445115444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16006 (or 16001 counting only the distinct ones).

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

The square root of 4445115444 is about 66671.6989734025. The cubic root of 4445115444 is about 1644.2241200837.

It can be divided in two parts, 44451 and 15444, that added together give a palindrome (59895).

The spelling of 4445115444 in words is "four billion, four hundred forty-five million, one hundred fifteen thousand, four hundred forty-four".