40001334320311 has 48 divisors (see below), whose sum is σ = 51359182963200. Its totient is φ = 31052244315456.

The previous prime is 40001334320309. The next prime is 40001334320323. The reversal of 40001334320311 is 11302343310004.

It is not a de Polignac number, because 40001334320311 - 2¹ = 40001334320309 is a prime.

It is a super-3 number, since 3×40001334320311³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40001334320371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2200170 + ... + 9211048.

It is an arithmetic number, because the mean of its divisors is an integer number (1069982978400).

Almost surely, 2^{40001334320311} is an apocalyptic number.

40001334320311 is a deficient number, since it is larger than the sum of its proper divisors (11357848642889).

40001334320311 is an equidigital number, since it uses as much as digits as its factorization.

40001334320311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7010985 (or 7010952 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 40001334320311 its reverse (11302343310004), we get a palindrome (51303677630315).

The spelling of 40001334320311 in words is "forty trillion, one billion, three hundred thirty-four million, three hundred twenty thousand, three hundred eleven".