40281509761353 has 64 divisors (see below), whose sum is σ = 68360322539520. Its totient is φ = 22964455172736.

The previous prime is 40281509761327. The next prime is 40281509761369. The reversal of 40281509761353 is 35316790518204.

It is a happy number.

40281509761353 is a `hidden beast` number, since 4 + 0 + 2 + 8 + 1 + 509 + 76 + 13 + 53 = 666.

It is not a de Polignac number, because 40281509761353 - 2⁶ = 40281509761289 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 40281509761353.

It is not an unprimeable number, because it can be changed into a prime (40281509561353) 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 63 ways as a sum of consecutive naturals, for example, 165818926 + ... + 166061672.

It is an arithmetic number, because the mean of its divisors is an integer number (1068130039680).

It is a 1-persistent number, because it is pandigital, but 2⋅40281509761353 = 80563019522706 is not.

Almost surely, 2^{40281509761353} is an apocalyptic number.

It is an amenable number.

40281509761353 is a deficient number, since it is larger than the sum of its proper divisors (28078812778167).

40281509761353 is a wasteful number, since it uses less digits than its factorization.

40281509761353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244803 (or 244797 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 40281509761353 in words is "forty trillion, two hundred eighty-one billion, five hundred nine million, seven hundred sixty-one thousand, three hundred fifty-three".