40551818816961 has 63 divisors (see below), whose sum is σ = 61127769074961. Its totient is φ = 26889545812104.

The previous prime is 40551818816917. The next prime is 40551818816983. The reversal of 40551818816961 is 16961881815504.

The square root of 40551818816961 is 6368031.

It is a perfect power (a square), and thus also a powerful number.

40551818816961 is a `hidden beast` number, since 4 + 0 + 5 + 518 + 18 + 8 + 16 + 96 + 1 = 666.

It is not a de Polignac number, because 40551818816961 - 2¹⁵ = 40551818784193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40551818816261) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 39029661480 + ... + 39029662518.

Almost surely, 2^{40551818816961} is an apocalyptic number.

40551818816961 is the 6368031-st square number.

40551818816961 is the 3184016-th centered octagonal number.

It is an amenable number.

40551818816961 is a deficient number, since it is larger than the sum of its proper divisors (20575950258000).

40551818816961 is an frugal number, since it uses more digits than its factorization.

40551818816961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2550 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 63.

The spelling of 40551818816961 in words is "forty trillion, five hundred fifty-one billion, eight hundred eighteen million, eight hundred sixteen thousand, nine hundred sixty-one".