40456092769 has 9 divisors (see below), whose sum is σ = 40702361241. Its totient is φ = 40211309040.

The previous prime is 40456092751. The next prime is 40456092797. The reversal of 40456092769 is 96729065404.

The square root of 40456092769 is 201137.

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 17802230625 + 22653862144 = 133425^2 + 150512^2 .

It is not a de Polignac number, because 40456092769 - 2⁷ = 40456092641 is a prime.

It is a super-2 number, since 2×40456092769² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40456092709) 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, 39623479 + ... + 39624499.

Almost surely, 2^40456092769 is an apocalyptic number.

40456092769 is the 201137-th square number.

40456092769 is the 100569-th centered octagonal number.

It is an amenable number.

40456092769 is a deficient number, since it is larger than the sum of its proper divisors (246268472).

40456092769 is an frugal number, since it uses more digits than its factorization.

40456092769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2436 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 52.

The spelling of 40456092769 in words is "forty billion, four hundred fifty-six million, ninety-two thousand, seven hundred sixty-nine".