40313009961 has 45 divisors (see below), whose sum is σ = 70074602829. Its totient is φ = 23028777576.

The previous prime is 40313009921. The next prime is 40313010029. The reversal of 40313009961 is 16990031304.

The square root of 40313009961 is 200781.

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

It is not a de Polignac number, because 40313009961 - 2²⁷ = 40178792233 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (40313009921) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 12647610 + ... + 12650796.

Almost surely, 2^40313009961 is an apocalyptic number.

40313009961 is the 200781-st square number.

40313009961 is the 100391-st centered octagonal number.

It is an amenable number.

40313009961 is a deficient number, since it is larger than the sum of its proper divisors (29761592868).

40313009961 is an frugal number, since it uses more digits than its factorization.

40313009961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6400 (or 3197 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

Multiplying 40313009961 by its sum of digits (36), we get a square (1451268358596 = 1204686²).

The spelling of 40313009961 in words is "forty billion, three hundred thirteen million, nine thousand, nine hundred sixty-one".