4004442414 has 64 divisors (see below), whose sum is σ = 10188372480. Its totient is φ = 1142061120.

The previous prime is 4004442373. The next prime is 4004442419. The reversal of 4004442414 is 4142444004.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004442419) 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, 206562 + ... + 225114.

It is an arithmetic number, because the mean of its divisors is an integer number (159193320).

Almost surely, 2^4004442414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4004442414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5094186240).

4004442414 is an abundant number, since it is smaller than the sum of its proper divisors (6183930066).

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

4004442414 is a wasteful number, since it uses less digits than its factorization.

4004442414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19142 (or 19136 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

The square root of 4004442414 is about 63280.6638239518. The cubic root of 4004442414 is about 1587.9884922722.

Adding to 4004442414 its reverse (4142444004), we get a palindrome (8146886418).

The spelling of 4004442414 in words is "four billion, four million, four hundred forty-two thousand, four hundred fourteen".