4442011340100 has 144 divisors (see below), whose sum is σ = 12947990608896. Its totient is φ = 1175730192000.

The previous prime is 4442011340083. The next prime is 4442011340161. The reversal of 4442011340100 is 10431102444.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34554945 + ... + 34683255.

Almost surely, 2^{4442011340100} 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 4442011340100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6473995304448).

4442011340100 is an abundant number, since it is smaller than the sum of its proper divisors (8505979268796).

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

4442011340100 is a wasteful number, since it uses less digits than its factorization.

4442011340100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129186 (or 129179 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 4442011340100 its reverse (10431102444), we get a palindrome (4452442442544).

The spelling of 4442011340100 in words is "four trillion, four hundred forty-two billion, eleven million, three hundred forty thousand, one hundred".