4415555144 has 128 divisors (see below), whose sum is σ = 11148641280. Its totient is φ = 1583366400.

The previous prime is 4415555143. The next prime is 4415555159.

4415555144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4415555098 and 4415555107.

It is not an unprimeable number, because it can be changed into a prime (4415555143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3931367 + ... + 3932489.

It is an arithmetic number, because the mean of its divisors is an integer number (87098760).

Almost surely, 2^4415555144 is an apocalyptic number.

4415555144 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 4415555144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5574320640).

4415555144 is an abundant number, since it is smaller than the sum of its proper divisors (6733086136).

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

4415555144 is a wasteful number, since it uses less digits than its factorization.

4415555144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651 (or 1647 counting only the distinct ones).

The product of its digits is 160000, while the sum is 38.

The square root of 4415555144 is about 66449.6436709784. The cubic root of 4415555144 is about 1640.5712792636.

It can be divided in two parts, 44155 and 55144, that added together give a palindrome (99299).

The spelling of 4415555144 in words is "four billion, four hundred fifteen million, five hundred fifty-five thousand, one hundred forty-four".