40727792439889 has 27 divisors (see below), whose sum is σ = 42766521131803. Its totient is φ = 38783062851632.

The previous prime is 40727792439839. The next prime is 40727792439923. The reversal of 40727792439889 is 98893429772704.

The square root of 40727792439889 is 6381833.

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

It can be written as a sum of positive squares in only one way, i.e., 38534111532225 + 2193680907664 = 6207585^2 + 1481108^2 .

It is not a de Polignac number, because 40727792439889 - 2²⁷ = 40727658222161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40727792439839) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 43007172114 + ... + 43007173060.

Almost surely, 2^{40727792439889} is an apocalyptic number.

40727792439889 is the 6381833-rd square number.

40727792439889 is the 3190917-th centered octagonal number.

It is an amenable number.

40727792439889 is a deficient number, since it is larger than the sum of its proper divisors (2038728691914).

40727792439889 is an frugal number, since it uses more digits than its factorization.

40727792439889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 3072577536, while the sum is 79.

The spelling of 40727792439889 in words is "forty trillion, seven hundred twenty-seven billion, seven hundred ninety-two million, four hundred thirty-nine thousand, eight hundred eighty-nine".