40314201440441 has 16 divisors (see below), whose sum is σ = 41123004151680. Its totient is φ = 39507206793600.

The previous prime is 40314201440423. The next prime is 40314201440459. The reversal of 40314201440441 is 14404410241304.

It is an interprime number because it is at equal distance from previous prime (40314201440423) and next prime (40314201440459).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-40314201440441 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 40314201440398 and 40314201440407.

It is not an unprimeable number, because it can be changed into a prime (40314261440441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174161006 + ... + 174392328.

It is an arithmetic number, because the mean of its divisors is an integer number (2570187759480).

Almost surely, 2^{40314201440441} is an apocalyptic number.

It is an amenable number.

40314201440441 is a deficient number, since it is larger than the sum of its proper divisors (808802711239).

40314201440441 is a wasteful number, since it uses less digits than its factorization.

40314201440441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235216.

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 40314201440441 its reverse (14404410241304), we get a palindrome (54718611681745).

The spelling of 40314201440441 in words is "forty trillion, three hundred fourteen billion, two hundred one million, four hundred forty thousand, four hundred forty-one".