40056734256561 has 16 divisors (see below), whose sum is σ = 64738156374720. Its totient is φ = 24276808640160.

The previous prime is 40056734256551. The next prime is 40056734256571. The reversal of 40056734256561 is 16565243765004.

40056734256561 is a `hidden beast` number, since 4 + 0 + 0 + 5 + 6 + 73 + 4 + 2 + 5 + 6 + 561 = 666.

It is an interprime number because it is at equal distance from previous prime (40056734256551) and next prime (40056734256571).

It is not a de Polignac number, because 40056734256561 - 2¹¹ = 40056734254513 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 40056734256498 and 40056734256507.

It is not an unprimeable number, because it can be changed into a prime (40056734256521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67435579260 + ... + 67435579853.

It is an arithmetic number, because the mean of its divisors is an integer number (4046134773420).

Almost surely, 2^{40056734256561} is an apocalyptic number.

It is an amenable number.

40056734256561 is a deficient number, since it is larger than the sum of its proper divisors (24681422118159).

40056734256561 is a wasteful number, since it uses less digits than its factorization.

40056734256561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134871159133 (or 134871159127 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 40056734256561 in words is "forty trillion, fifty-six billion, seven hundred thirty-four million, two hundred fifty-six thousand, five hundred sixty-one".