40583812233541 has 2 divisors, whose sum is σ = 40583812233542. Its totient is φ = 40583812233540.

The previous prime is 40583812233527. The next prime is 40583812233551. The reversal of 40583812233541 is 14533221838504.

40583812233541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27256596016225 + 13327216217316 = 5220785^2 + 3650646^2 .

It is a cyclic number.

It is not a de Polignac number, because 40583812233541 - 2¹⁷ = 40583812102469 is a prime.

It is a super-2 number, since 2×40583812233541² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40583812233521) 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, 20291906116770 + 20291906116771.

It is an arithmetic number, because the mean of its divisors is an integer number (20291906116771).

Almost surely, 2^{40583812233541} is an apocalyptic number.

It is an amenable number.

40583812233541 is a deficient number, since it is larger than the sum of its proper divisors (1).

40583812233541 is an equidigital number, since it uses as much as digits as its factorization.

40583812233541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2764800, while the sum is 49.

The spelling of 40583812233541 in words is "forty trillion, five hundred eighty-three billion, eight hundred twelve million, two hundred thirty-three thousand, five hundred forty-one".