40021001414131 has 2 divisors, whose sum is σ = 40021001414132. Its totient is φ = 40021001414130.

The previous prime is 40021001414129. The next prime is 40021001414183. The reversal of 40021001414131 is 13141410012004.

40021001414131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 40021001414131 - 2¹ = 40021001414129 is a prime.

It is a super-2 number, since 2×40021001414131² (a number of 28 digits) contains 22 as substring.

Together with 40021001414129, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (40021001414731) 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 as a sum of consecutive naturals, namely, 20010500707065 + 20010500707066.

It is an arithmetic number, because the mean of its divisors is an integer number (20010500707066).

Almost surely, 2^{40021001414131} is an apocalyptic number.

40021001414131 is a deficient number, since it is larger than the sum of its proper divisors (1).

40021001414131 is an equidigital number, since it uses as much as digits as its factorization.

40021001414131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 40021001414131 its reverse (13141410012004), we get a palindrome (53162411426135).

The spelling of 40021001414131 in words is "forty trillion, twenty-one billion, one million, four hundred fourteen thousand, one hundred thirty-one".