4001141350521 has 72 divisors (see below), whose sum is σ = 7119434130120. Its totient is φ = 2151585063936.

The previous prime is 4001141350477. The next prime is 4001141350543. The reversal of 4001141350521 is 1250531411004.

4001141350521 is a `hidden beast` number, since 4 + 0 + 0 + 1 + 1 + 4 + 135 + 0 + 521 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33256628496 + 3967884722025 = 182364^2 + 1991955^2 .

It is not a de Polignac number, because 4001141350521 - 2¹⁴ = 4001141334137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4001141351521) 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 71 ways as a sum of consecutive naturals, for example, 63160555 + ... + 63223871.

It is an arithmetic number, because the mean of its divisors is an integer number (98881029585).

Almost surely, 2^{4001141350521} is an apocalyptic number.

It is an amenable number.

4001141350521 is a deficient number, since it is larger than the sum of its proper divisors (3118292779599).

4001141350521 is a wasteful number, since it uses less digits than its factorization.

4001141350521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71783 (or 71773 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 4001141350521 its reverse (1250531411004), we get a palindrome (5251672761525).

The spelling of 4001141350521 in words is "four trillion, one billion, one hundred forty-one million, three hundred fifty thousand, five hundred twenty-one".