40112478961 has 9 divisors (see below), whose sum is σ = 41233518081. Its totient is φ = 39021147792.

The previous prime is 40112478871. The next prime is 40112478971. The reversal of 40112478961 is 16987421104.

The square root of 40112478961 is 200281.

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

It can be written as a sum of positive squares in 4 ways, for example, as 955984561 + 39156494400 = 30919^2 + 197880^2 .

It is not a de Polignac number, because 40112478961 - 2¹¹ = 40112476913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40112478971) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7407691 + ... + 7413103.

It is an arithmetic number, because the mean of its divisors is an integer number (4581502009).

Almost surely, 2^40112478961 is an apocalyptic number.

40112478961 is the 200281-st square number.

40112478961 is the 100141-st centered octagonal number.

It is an amenable number.

40112478961 is a deficient number, since it is larger than the sum of its proper divisors (1121039120).

40112478961 is an frugal number, since it uses more digits than its factorization.

40112478961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10900 (or 5450 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The spelling of 40112478961 in words is "forty billion, one hundred twelve million, four hundred seventy-eight thousand, nine hundred sixty-one".