4442413000 has 32 divisors (see below), whose sum is σ = 10395248760. Its totient is φ = 1776964800.

The previous prime is 4442412991. The next prime is 4442413007. The reversal of 4442413000 is 3142444.

It can be written as a sum of positive squares in 4 ways, for example, as 1491967876 + 2950445124 = 38626^2 + 54318^2 .

It is not an unprimeable number, because it can be changed into a prime (4442413007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2220207 + ... + 2222206.

Almost surely, 2^4442413000 is an apocalyptic number.

4442413000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4442413000 is an abundant number, since it is smaller than the sum of its proper divisors (5952835760).

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

4442413000 is a wasteful number, since it uses less digits than its factorization.

4442413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4442434 (or 4442420 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 4442413000 is about 66651.4290919557. The cubic root of 4442413000 is about 1643.8908460709.

Adding to 4442413000 its reverse (3142444), we get a palindrome (4445555444).

The spelling of 4442413000 in words is "four billion, four hundred forty-two million, four hundred thirteen thousand".