4442414004 has 96 divisors (see below), whose sum is σ = 13213347840. Its totient is φ = 1264378464.

The previous prime is 4442414003. The next prime is 4442414017. The reversal of 4442414004 is 4004142444.

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 (4442414003) 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, 187657 + ... + 209999.

It is an arithmetic number, because the mean of its divisors is an integer number (137639040).

Almost surely, 2^4442414004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4442414004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6606673920).

4442414004 is an abundant number, since it is smaller than the sum of its proper divisors (8770933836).

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

4442414004 is a wasteful number, since it uses less digits than its factorization.

4442414004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22626 (or 22618 counting only the distinct ones).

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

The square root of 4442414004 is about 66651.4366236768. The cubic root of 4442414004 is about 1643.8909699124.

Adding to 4442414004 its reverse (4004142444), we get a palindrome (8446556448).

The spelling of 4442414004 in words is "four billion, four hundred forty-two million, four hundred fourteen thousand, four".