4044121000001 has 16 divisors (see below), whose sum is σ = 4159528381008. Its totient is φ = 3929533670400.

The previous prime is 4044120999967. The next prime is 4044121000009. The reversal of 4044121000001 is 1000001214404.

It is a Cunningham number, because it is equal to 2011000²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 335184260401 + 3708936739600 = 578951^2 + 1925860^2 .

It is a cyclic number.

It is not a de Polignac number, because 4044121000001 - 2¹⁸ = 4044120737857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4044121000009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15022355 + ... + 15289191.

It is an arithmetic number, because the mean of its divisors is an integer number (259970523813).

Almost surely, 2^{4044121000001} is an apocalyptic number.

4044121000001 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4044121000001 is a deficient number, since it is larger than the sum of its proper divisors (115407381007).

4044121000001 is a wasteful number, since it uses less digits than its factorization.

4044121000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268372.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 4044121000001 its reverse (1000001214404), we get a palindrome (5044122214405).

The spelling of 4044121000001 in words is "four trillion, forty-four billion, one hundred twenty-one million, one", and thus it is an aban number.