4444004004001 has 32 divisors (see below), whose sum is σ = 4956046663680. Its totient is φ = 3967314422400.

The previous prime is 4444004003941. The next prime is 4444004004019. The reversal of 4444004004001 is 1004004004444.

It is a happy number.

It is not a de Polignac number, because 4444004004001 - 2¹⁵ = 4444003971233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4444004004701) 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, 12453996 + ... + 12805858.

It is an arithmetic number, because the mean of its divisors is an integer number (154876458240).

Almost surely, 2^{4444004004001} is an apocalyptic number.

4444004004001 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4444004004001 is a deficient number, since it is larger than the sum of its proper divisors (512042659679).

4444004004001 is a wasteful number, since it uses less digits than its factorization.

4444004004001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352477.

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 4444004004001 its reverse (1004004004444), we get a palindrome (5448008008445).

The spelling of 4444004004001 in words is "four trillion, four hundred forty-four billion, four million, four thousand, one".