40514040961 has 3 divisors (see below), whose sum is σ = 40514242243. Its totient is φ = 40513839680.

The previous prime is 40514040953. The next prime is 40514040967. The reversal of 40514040961 is 16904041504.

It is a happy number.

The square root of 40514040961 is 201281.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 10916279361 + 29597761600 = 104481^2 + 172040^2 .

It is not a de Polignac number, because 40514040961 - 2³ = 40514040953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40514040967) 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 2 ways as a sum of consecutive naturals, for example, 100641 + ... + 301921.

Almost surely, 2^40514040961 is an apocalyptic number.

40514040961 is the 201281-st square number.

40514040961 is the 100641-st centered octagonal number.

It is an amenable number.

40514040961 is a deficient number, since it is larger than the sum of its proper divisors (201282).

40514040961 is an frugal number, since it uses more digits than its factorization.

40514040961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402562 (or 201281 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 40514040961 in words is "forty billion, five hundred fourteen million, forty thousand, nine hundred sixty-one".