40733835268961 has 4 divisors (see below), whose sum is σ = 41681133763632. Its totient is φ = 39786536774292.

The previous prime is 40733835268937. The next prime is 40733835268963. The reversal of 40733835268961 is 16986253833704.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 40733835268961 - 2³⁸ = 40458957362017 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (40733835268963) 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 3 ways as a sum of consecutive naturals, for example, 473649247271 + ... + 473649247356.

It is an arithmetic number, because the mean of its divisors is an integer number (10420283440908).

It is a 2-persistent number, because it is pandigital, and so is 2⋅40733835268961 = 81467670537922, but 3⋅40733835268961 = 122201505806883 is not.

Almost surely, 2^{40733835268961} is an apocalyptic number.

It is an amenable number.

40733835268961 is a deficient number, since it is larger than the sum of its proper divisors (947298494671).

40733835268961 is an equidigital number, since it uses as much as digits as its factorization.

40733835268961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947298494670.

The product of its (nonzero) digits is 156764160, while the sum is 65.

The spelling of 40733835268961 in words is "forty trillion, seven hundred thirty-three billion, eight hundred thirty-five million, two hundred sixty-eight thousand, nine hundred sixty-one".