4001444132121 has 20 divisors (see below), whose sum is σ = 5978111102964. Its totient is φ = 2667341491200.

The previous prime is 4001444132107. The next prime is 4001444132177. The reversal of 4001444132121 is 1212314441004.

4001444132121 is a `hidden beast` number, since 4 + 0 + 0 + 1 + 4 + 441 + 3 + 212 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3765291870096 + 236152262025 = 1940436^2 + 485955^2 .

It is not a de Polignac number, because 4001444132121 - 2²¹ = 4001442034969 is a prime.

It is a super-3 number, since 3×4001444132121³ (a number of 39 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4001444132821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1909620 + ... + 3413141.

Almost surely, 2^{4001444132121} is an apocalyptic number.

It is an amenable number.

4001444132121 is a deficient number, since it is larger than the sum of its proper divisors (1976666970843).

4001444132121 is an equidigital number, since it uses as much as digits as its factorization.

4001444132121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5332054 (or 5332045 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 4001444132121 its reverse (1212314441004), we get a palindrome (5213758573125).

The spelling of 4001444132121 in words is "four trillion, one billion, four hundred forty-four million, one hundred thirty-two thousand, one hundred twenty-one".